Question

The figure shows a parallelogram inside a rectangle outline:

A parallelogram is shown within a rectangle. The length of the rectangle is 3 over 5 foot, and the width of the rectangle is 2 over 5 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 5 foot.

What is the area of the parallelogram?

1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot

Answer 1

The answer is D. 4 over 25 square foot

Answer 2

4 over 25 square foot

Explanation:

Area of parallelogram = base × height

Base:

The total length of the rectangle is 3/5. Part of it measures 1/5.

So you subtract that part from the whole length.

3/5 - 1/5 = 2/5 foot

Height:

Height is already given from the picture, 2/5 foot.

Now,

A = b × h

A = 2/5 × 2/5

A = 4/25 ² foot