Question

The width of a rectangle is represented by 4x, and its length is represented by (3x + 2). Write a polynomial for the perimeter of the rectangle. PHoto below

Answer 1

Simplified polynomial: 14x + 4

Explanation:

The formula for the perimeter of a rectangle is given by:

P = 2L + 2W, where

• L is the length,
• and W is the width:

Thus, we plug in 3x + 2 for L and 4x for W in the perimeter formula to get the polynomial:

2(3x + 2) + 2(4x)

Now we simplify:

P = 6x + 4 + 8x

P = 14x + 4