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Chapter 11: Q13. (page 431)

Find the area of each figure:

A parallelogram with45鈭�angle and sides 6and 10

Short Answer

Expert verified

The area of given figure is302 square units.

Step by step solution

01

Step 1. Given information.

The sides of parallelogram are 6 and 10.

Angle is45鈭�

02

Step 2. Find height of Parallelogram.

In triangleAED

sin45鈭�=h6

12=h6

" width="9" height="19" role="math">h=32

03

Step 3. Find the area of given figure.

Since the area of parallelogram can be found using the formula

A=bh

A=10脳32

=302 Square units.

Therefore, the area of given figure is302 square units.

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