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## AP Board Class 9 Maths Chapter 11 Areas Ex 11.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 11 Areas Ex 11.1 Book Answers

 AP Board Class 9 Maths Chapter 11 Areas Ex 11.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 11 Areas Ex 11.1 Book Answers

## Andhra Pradesh State Board Class 9th Maths Chapter 11 Areas Ex 11.1 Books Solutions

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## AP Board Class 9th Maths Chapter 11 Areas Ex 11.1 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 9th Maths Chapter 11 Areas Ex 11.1 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

## AP State Syllabus 9th Class Maths Solutions 11th Lesson Areas Exercise 11.1

Question 1.
In ΔABC, ∠ABC = 90°; AD = DC; AB =12 cm, BC = 6.5 cm. Find the area of ΔADB

Solution:
ΔADB = 12 ΔABC [ ∵ AD is a median of ΔABC]
12 = [ 12 AB x BC]
= 14 x 12 x 6.5
= 19.5 cm2

Question 2.
Find the area of a quadrilateral PQRS in which ∠QPS = ∠SQR = 90°, PQ = 12 cm, PS = 9 cm, QR = 8 cm and SR =17 cm.
[Hint: PQRS has two parts]

Solution:
Area of ΔQPS = 12 x base x height
= 12 x 9 x 12
= 54cm2
In ΔQPS
QS2 = PQ2 + PS2
QS = 122+92‾‾‾‾‾‾‾‾√=144+81‾‾‾‾‾‾‾‾‾√=225‾‾‾‾√=15
Area of ΔQSR =12 x base x height
= 12 x 15 x 8 = 60 cm2
∴ □PQRS = ΔQPS + ΔQSR
= 54 + 60= 114 cm2

Question 3.
Find the area of trapezium ABCD as given in the figure in which ADCE is a rectangle.
[Hint: ABCD has two parts]

Solution:
Area of trapezium 1
= 12 (sum of parallel sides) x (distance between the parallel sides)
= 12 (a + b) h
From the figure, a = 3 + 3 = 6 cm
b = 3 cm
(∵ Opp. sides of rectangle)
h = 8 cm
∴ A = 12(6 + 3)x8 = 36cm2

Question 4.
ABCD is a parallelogram. The diago-nals AC and BD intersect each other at O. Prove that ar (ΔAOD) = ar (ΔBOQ. [Hint: Congruent figures have equal area]

Solution:
Given that □ABCD is a parallelogram.
Diagonals AC and BD meet at ‘O’.
In ΔAOD and ΔBOC
AD = BC [ ∵ Opp. sides of a ||gm]
AO = OC [ ∵ diagonals bisect each
OD = OB other]
ΔAOD = ΔBOC [S.S.S. congruence]
∴ ΔAOD = ΔBOC (i.e., have equal area)

## Andhra Pradesh Board Class 9th Maths Chapter 11 Areas Ex 11.1 Textbooks for Exam Preparations

Andhra Pradesh Board Class 9th Maths Chapter 11 Areas Ex 11.1 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 9th Maths Chapter 11 Areas Ex 11.1 exam preparation. The AP Board STD 9th Maths Chapter 11 Areas Ex 11.1 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 9th Maths Chapter 11 Areas Ex 11.1 Books State Board syllabus with maximum efficiency.

## FAQs Regarding Andhra Pradesh Board Class 9th Maths Chapter 11 Areas Ex 11.1 Textbook Solutions

#### 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.

## Important Terms

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