If the length of a rectangular yard is represented by w+4 and the width by 2w+5, write a simplified expression in terms of w that represents the total length of fence needed to go around the yard. Show your work step by step.

P = 6w + 18

Step-by-step explanation:

A rectangle is a plane shape having a LENGTH and a WIDTH.

Length (l) = w + 4

Width (w) = 2w + 5

To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.

Perimeter (P) = 2 ( l + b)

Where l = length= w + 4

Where b = width = 2w + 5

P = 2( w + 4 + 2w + 5)

P = 2( 3w + 9)

P = 6w + 18