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Chapter 11: Q8. (page 431)

Find the area of each figure:

Short Answer

Expert verified

The area of given figure is24 square units.

Step by step solution

01

Step 1. Given information.

Given figure is a rhombus.

The side of rhombus is 5 and one of its diagonal is 8.

02

Step 2. Concept used.

Area of rhombus can be found using the diagonals

A=12d1d2

Whered1d2, are the two diagonals of rhombus.

03

Step 3. Find the diagonal of rhombus.

We can use Pythagorean Theorem.

Pythagorean Theorem define that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

Using Pythagorean Theorem in鈻�AOB

AB2=OA2+OB2

52=42+OB2

25=16+OB2

OB2=9

OB=3

Thus, the another diagonal isBD=OB+OD=3+3=6

04

Step 4. Find the area of given figure.

Area of the rhombus

A=12d1d2

=12脳6脳8

=24 Square units.

Therefore, the area of given figure is 24square units.

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