Question

Felicia has a garden in the shape of a parallelogram as shown. What is the area of her garden? 72 ft² 75 ft² 92 ft² 96 ft² Parallelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B. A E is 3 feet. DC is 9 feet. A dotted segment D E runs from point D to the opposite side A B and is perpendicular to side A B. D E is 8 feet.

Answer 1

72 ft²

Explanation:

Given :

Parallelogram ABCD with side AD parallel to side BC and side AB is parallel to side DC.

Point E is on side AB. AE is 3 feet. DC is 9 feet.

A dotted segment DE runs from point D to the opposite side AB and is perpendicular to side AB.

DE is 8 feet.

To Find: Area of parallelogram

Solution :

Refer the attached figure .

Since opposite sides of parallelogram is equal .

So DC=AB=9 feet

Area of parallelogram = base * height

= AB*DE

=9*8 = 72 ft²

Thus the area of garden in the shape of parallelogram is 72 ft²