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Chapter 11: Q. 9 (page 431)

Find the area of each figure:

Short Answer

Expert verified

The area of given figure is 84 square unit.

Step by step solution

01

Step 1. Given information.

02

Step 2. Use Phythagoras theorem.

Using Pythagoras theorem finding the missing leg of the triangles first and second.

In first triangle:

H2=P2+B2

132=52+B2

B2=169鈭�25

B2=144

B=12

In the second triangle

H2=P2+B2

152=P2+122

P2=225鈭�144

P2=81

P=9

03

Step 3. Concept used.

Area of triangle can be found using the formula

A=12bh

Where,

b= Base of a triangle and h= Height of a triangle

04

Step 4. Find the area of first triangle.

A1=12bh

=12脳12脳5

=6脳5

=30 Square unit

05

Step 5. Find the area of second triangle.

A2=12bh

=12脳9脳12

=9脳6

=54 Square unit

06

Step 6. Find the total area.

Total area of given figure

A=A1+A2

=30+54

=84 Square unit

Therefore, the area of given figure is84 Square unit.

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