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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

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
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


AP Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbooks Solutions and answers for students are now available in pdf format. Andhra Pradesh Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Book answers and solutions are one of the most important study materials for any student. The Andhra Pradesh State Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 books are published by the Andhra Pradesh Board Publishers. These Andhra Pradesh Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 textbooks are prepared by a group of expert faculty members. Students can download these AP Board STD 7th Maths Chapter 13 Area and Perimeter Ex 3 book solutions pdf online from this page.

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
Provider Hsslive


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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


Andhra Pradesh Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbooks for Exam Preparations

Andhra Pradesh Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 exam preparation. The AP Board STD 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Books State Board syllabus with maximum efficiency.

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How to get AP Board Class 7th Maths Chapter 13 Area and Perimeter Ex 3 Textbook Answers??

Students can download the Andhra Pradesh Board Class 7 Maths Chapter 13 Area and Perimeter Ex 3 Answers PDF from the links provided above.

Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

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