Question

The length of a rectangle is 3n+ 2 and its width is n-1. The perimeter of the rectangle is twice the sum of its length and its width.

Find the perimeter of the rectangle when n = 4 inches.

Answer 1

34 inches

Explanation:

Let W be the width (in inches) and L be the length (inches).

Perimeter = 2W + 2L

This can be written as 2(W + L) [The perimeter of the rectangle is twice the sum of its length and its width.]

For n = 4 inches, we have:

L = 3n+2

L = 3(4) + 2

L = 14 inches

W = n - 1

W = 4 - 1

W = 3 inches

Perimeter = 2(W + L)

Perimeter = 2(3" + 14")

Perimeter = 34"