Question

A garden is 15ft long by 5ft wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15) + (x+5) + (x+15) + (x+5) Which expression is is equivalent to the expression for the perimeter of the garden? Select all that apply

Answer 1

P can be written in the following forms

- P = 2(15+x) + 2(5+x)

- P = 40+4x

- P = 2(2x+20)

Explanation:

The perimeter of a garden is expressed using the formula;

P = 2(L+W)

L is the length of the garden

W is the width of the gaeden

Given

L = 15ft

W = 5ft

If both dimension are increased by the same number say x then;

L = 15+x

W = 5+x

Substitute the resulting parameters into the formula as shown;

P = 2(15+x+5+x)

P = 2(15+x) + 2(5+x)

P = 2(15+5+x+x)

P = 2(20+2x)

P = 40+4x

Hence the expression that is equivalent to the expression for the perimeter of the garden is P = 40+4x and P = 2(2x+20)