Question

The length of a rectangle is 3 more than 4 times the width.

Write a polynomial in standard form that represents the perimeter of the rectangle. Use w
for the variable. WHAT IS THE ANSWER PLEASE HELP ASAP

Answer 1

Perimeter in terms of the width, W, is

P = 10W + 6

Explanation:

Let variable L represent the length and W represent the width

Given length is 3 more than 4 times the width, we can translate this word statement into a mathematical equation using L and W

• 4 times width = 4W
• 3 more than 4 times width = 4W + 3
• So, L = 4W + 3
  

The perimeter of a rectangle of length L and width W is:

2(L + W)

Substituting L = 4W + 3 into the perimeter equation gives us:
2(4W + 3 + W)

= 2(5W + 3)

= 10W + 6