Question

A parallelogram with an area of 160.5 in^2 has a height that meansures 7.5 in. Find the length of the base.

Answer 1

Length of the base is 21.34 inches.

Explanation:

Area of parallelogram(A) is given by:

`A = b \cdot h`

where b is the length of the base and h is the height of the parallelogram respectively.

As per the statement:

A parallelogram with an area of 160.5 in^2 has a height that measures 7.5 in.

Area of a parallelogram(A) = 160.5 square inches.

height of a parallelogram(h) = 7.5 in.

Then by formula of area of parallelogram we have;

`160.5 = 7.5b`

Divide both sides by 7.5 we get;

21.34 = b

Therefore, the length of the base is 21.34 inches.