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AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 7th Maths Chapter 13 Area and Perimeter Ex 3 Book Answers |
Andhra Pradesh Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbooks Solutions PDF
Andhra Pradesh State Board STD 7th Maths Chapter 13 Area and Perimeter Ex 3 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbooks. These Andhra Pradesh State Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.Andhra Pradesh State Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Books Solutions
Board | AP Board |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 7th |
Subject | Maths |
Chapters | Maths Chapter 13 Area and Perimeter Ex 3 |
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AP Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:Question 1.
Find the area of each of the following triangles.
Solution:
î) Area = 12 = 12 x 5 x 8 = 20 cm2
ii) Area = 12 = 12 x 6 x 4 = 12 cm2
iii) Area = 12 = 12 x 5.4 x 7.5 = 20.25 cm2
iv)Area = 12 = 12 x 6 x 4 = 12 cm2
Question 2.
In ΔPQR, PQ = 4 cm, PR =8 cm and RT = 6cm. Find (i) the area of ΔPQR (ii) the length of QS.
Solution:
Given PQ 4cm, PR = 8cm, RT = 6cm
1) Area of ΔPQR = 12 × base × height = 12 × PQ × RT
= 12 × 4 × 6 = 12cm2
ii) Also area of ΔPQR = 12 × base x height = 12 × PR × QS
12 = 12 × 8 × QS
QR = 12×28 = 3cm
Question 3.
ΔABC is right-angled at A. AD is perpendicular to BC, AB =5 cm, BC = 13 cm and AC = 12 cm. Find the area of ΔABC. Also, find the length of AD.
Solution:
Given.
In ΔABC, ∠A = 90°
AB = 5cm; AC = 12cm; AD ⊥ BC; BC = 13cm.
Now area of ΔABC = 12 × base × height
= 12 x AB x AC = 12 × 5 × 12 = 30cm2
Also area of MBC = 12 × BC × AD
30 = 12 × 13 × AD
∴ 30×213=6013=4813 cm
Question 4.
ΔPQR is isosceles with PQ = PR = 7.5 cm and QR = 9 cm. The height PS from P to QR, is 6 cm. Find the area of ΔPQR. What will be the height from R to PQ i.e. RT?
Solution:
Given: PQ = PR = 7.5cm, QR = 9cm PS = 6cm
Area of ΔPQR = 12 bh = latex]\frac { 1 }{ 2 }[/latex] x 9 x 6 = 27cm2
Also area of ΔPQR = 12 × PQ × RT
27 = 12 × 7.5 × RT [PQ = PR]
∴ RT = 2×277.5=2×27×215=365 = 7.2 cm
Question 5.
ABCD rectangle with AB =8 cm, BC = 16 cm and AE = 4 cm. Find the area of ABCE. Is the area of ΔBEC equal to the sum of the area of ΔBAE and ΔCDE. Why?
Solution:
Given : In rectangle ABCD,
AB = 8cm, BC = 16 cm, AE = 4cm
Now Area of ΔBAE = 12 x base x height
= 12 × BC⎯⎯⎯⎯⎯⎯⎯⎯×AB⎯⎯⎯⎯⎯⎯⎯⎯
= 12 × 16 x 8 = 64cm2
Area of ΔCDE = 12 x base x height
= 12 × ED⎯⎯⎯⎯⎯⎯⎯⎯×DC⎯⎯⎯⎯⎯⎯⎯⎯
= 12 × 12 × 8 = 48cm2
(∵ ED⎯⎯⎯⎯⎯⎯⎯⎯ = AD – AE = 16 – 4 = 12cm and DC⎯⎯⎯⎯⎯⎯⎯⎯=AB⎯⎯⎯⎯⎯⎯⎯⎯)
Now ΔBAE + ΔCDE = 16 + 48 = 64 = ΔBCE.
Question 6.
Ramu says that the area of ΔPQR is, A = 12 × 7 × 5 cm2.
Gopi says that it is, A = 12 × 8 × 5 cm2. Who is correct’? Why?
Solution:
Ramu is correct.
Since area of a triangle = 12 × base × corresponding height
= 12 × 7 × 5cm2
But height 5cm is not corresponding to side &m.
∴ Gopi is not correct.
Question 7.
Find the base of a triangle whose area is 220 cm2 and height is 11cm.
Solution:
Given Area = 220 cm2, h = 11 cm
Area of a triangle = 12b.h
= 12 × b × 11 = 220cm2 (given)
b × 11 = 220 × 2
b = 220×211 = 40
∴ base of the triangle = 40 cm.
Question 8.
In a triangle the height is double the base and the area is 400 cm2. Find the length of the base and height.
Solution:
Area = 400 cm2
Let the base of the triangle be x.
height = 2x
Area of the triangle = 12b.h
12 × x × 2x = 400 (given)
x2 = 400
x = 400‾‾‾‾√ = 20
∴ base of the triangle = 20 cm
height = 2(base)= 2(20) = 40 cm.
Question 9.
The area of triangle is equal to the area of a rectangle whose length and breadth are 20 cm and 15 cm respectively. Calculate the height of the triangle if its base measures 30 cm.
Solution:
Given :Length of the rectangle = 20 cm
Breadth of the rectangle = 15 cm
Base of the triangle = 30 cm
Area of the rectangle = Area of the triangle
Length x breadth = 12 × base × height
20 × 15 = 12 × 30 × height
∴ height = 20×1515 = 20cm
Question 10.
In Figure ABCD find the area of the shaded region.
Solution:
Given : Side of the square ABCD = 40cm
Area of the shaded rgion = (Area of the square) — (Area of the unshaded region)
= (side × side) – 12 × base × height
= 40 × 40 – 12 × 40 × 40
= 1600 – 800 = 800cm2
Question 11.
In Figure ABCD, find the area of the shaded region.
Solution:
Given: Side of the square = 20 cm
Area of the shade region
= (Area of the square) – (Area of unshaded region)
= (Square ABCD) – (ΔEAF + ΔFBC + ΔEDC)
= side × side – (12AF × AE + 12 FB × BC + 12 DE × DC)
= 20 × 20 – (12 × 10 × 12 + 12 × 10 × 20 + 12 × 8 × 20)
= 400 – [60 + 100 + 80] = 400 – 240 = 160cm2
Question 12.
Find the area of a parallelogram PQRS, if PR =24 cm and QU = ST =8 cm.
Solution:
Given : In PQRS, PR = 24cm, ST = 8cm, QU =8cm
Area of PQRS = ΔPQR + ΔPRS
= 12 × 12base x height + x base x height
= 12 × 24 x 8 + 12 × 24 × 8 = 96 + 96 = 192 cm2
Question 13.
The base and height of the triangle are in the ratio 3:2 and its area is 108 cm2. Find its base
and height.
Solution:
Given : Area = 108 cm2
Let the base of the triangle be 3x and height of the triangle be 2x.
Area of the triangle = 12 × base × height = 12 x (3x) (2x) = 108 cm2 (given)
3x2 = 108
x2 = 108/3 = 36
x = 36‾‾‾√ = 6
∴ base 3x = 3(6) = 18 cm
height = 2x = 2(6) = 12cm
AP Board Textbook Solutions PDF for Class 7th Maths
- AP Board Class 7 Maths Chapter 1 Integers Ex 1
- AP Board Class 7 Maths Chapter 1 Integers Ex 2
- AP Board Class 7 Maths Chapter 1 Integers Ex 3
- AP Board Class 7 Maths Chapter 1 Integers Ex 4
- AP Board Class 7 Maths Chapter 1 Integers Ex 5
- AP Board Class 7 Maths Chapter 1 Integers Ex 6
- AP Board Class 7 Maths Chapter 1 Integers Ex 7
- AP Board Class 7 Maths Chapter 1 Integers InText Questions
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 1
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 2
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 3
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 4
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 5
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 6
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers Ex 7
- AP Board Class 7 Maths Chapter 2 Fractions Decimals and Rational Numbers InText Questions
- AP Board Class 7 Maths Chapter 3 Simple Equations Ex 1
- AP Board Class 7 Maths Chapter 3 Simple Equations Ex 2
- AP Board Class 7 Maths Chapter 3 Simple Equations Ex 3
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 1
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 2
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 3
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 4
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 5
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 6
- AP Board Class 7 Maths Chapter 4 Lines and Angles Ex 7
- AP Board Class 7 Maths Chapter 4 Lines and Angles InText Questions
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 1
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 2
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 3
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties Ex 4
- AP Board Class 7 Maths Chapter 5 Triangle and Its Properties InText Questions
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 1
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 2
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 3
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 4
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 5
- AP Board Class 7 Maths Chapter 6 Ratio Applications Ex 6
- AP Board Class 7 Maths Chapter 6 Ratio Applications InText Questions
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 1
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 2
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 3
- AP Board Class 7 Maths Chapter 7 Data Handling Ex 4
- AP Board Class 7 Maths Chapter 7 Data Handling InText Questions
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles Ex 1
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles Ex 2
- AP Board Class 7 Maths Chapter 8 Congruence of Triangles Ex 3
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles Ex 4
- AP Board Class 7 Maths Chapter 8 Congruency of Triangles InText Questions
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 1
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 2
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 3
- AP Board Class 7 Maths Chapter 9 Construction of Triangles Ex 4
- AP Board Class 7 Maths Chapter 9 Construction of Triangles InText Questions
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 1
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 2
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 3
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions Ex 4
- AP Board Class 7 Maths Chapter 10 Algebraic Expressions InText Questions
- AP Board Class 7 Maths Chapter 11 Exponents Ex 1
- AP Board Class 7 Maths Chapter 11 Exponents Ex 2
- AP Board Class 7 Maths Chapter 11 Exponents Ex 3
- AP Board Class 7 Maths Chapter 11 Exponents InText Questions
- AP Board Class 7 Maths Chapter 12 Quadrilaterals Ex 1
- AP Board Class 7 Maths Chapter 12 Quadrilaterals Ex 2
- AP Board Class 7 Maths Chapter 12 Quadrilaterals InText Questions
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 1
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 2
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 3
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 4
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 5
- AP Board Class 7 Maths Chapter 13 Area and Perimeter Ex 6
- AP Board Class 7 Maths Chapter 13 Area and Perimeter InText Questions
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 1
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 2
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 3
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes Ex 4
- AP Board Class 7 Maths Chapter 14 Understanding 3D and 2D Shapes InText Questions
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 1
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 2
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 3
- AP Board Class 7 Maths Chapter 15 Symmetry Ex 4
- AP Board Class 7 Maths Chapter 15 Symmetry InText Questions
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