Question

The side lengths of a square are each 3p. By adding 5 to the length and subtracting 5 from the width, a rectangle is made. What is the area of the rectangle?

Answer 1

A = 9p² - 25

Explanation:

The side lengths were 3p. 5 was added to the length and subtracted from the width. This means that

l = 3p + 5

w = 3p - 5

Plug these values into the formula for the area of a rectangle.

A = lw

A = (3p + 5)(3p - 5)

A = 9p² - 25

The area of the rectangle is 9p² - 25.