Question

A billboard is in the shape of a parallelogram. The billboard has a base of 48 feet and a height of 14 feet. What is the area of the billboard?

Answer 1

`A=672\ sq.feet`.

Explanation:

A parallelogram with the same base and height as that of a rectangle will have an area identical to the rectangle.

A picture to demonstrate this:

You can see that the blue separated triangle on the left can be used to fill the gap on the right, making a rectangle.

Therefore, the same area equation can be applied to the parallelogram as to the rectangle:

`A=w\timesh`

`A=48\ feet\times14\ feet`

`A=672\ sq.feet`