Question

If the area of a rectangle with width X can be represented with the expression a(x) = x(14-x), what is the perimeter of the rectangle?

Answer 1

Expression for perimeter is 2(14-x + x) = 28

Step-by-step explanation:

Step 1:

Given expression for area of the rectangle = a(x) = x(14-x) where x is the width. Then length = 14-x since area = length × width

Step 2:

Find expression for perimeter of the rectangle.

Perimeter of the rectangle = 2(length + width) = 2(14 - x + x) = 2 × 14 = 28