Question

Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.

Answer 1

Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden

Explanation:

The complete question is

A garden is 15 feet long by 5 feet 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 equivalent to the expression for the perimeter of the larger garden? Select all that apply.

1. 4x+40
2. 2(2x+20)
3. 2(x+15)(x+5)
4. 4(x+15)(x+5)
5. 2(x+15)+2(x+5)

Solution

The expression for the perimeter of the larger garden:
`(x+15)+(x+5)+(x+15)+(x+5)`

If the given expression is expanded and solved, we get the following

`(x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40`

Hence, option A is correct