Question

A garden is 15 feet long by 5 feet wide . The length and width of the garden will each ne increased by the same number of feet . The expression represents the perimeter of the garden larger:

(x+15) + ( x + 5 ) ( x + 15 ) + (x + 5 )

Answer 1

40 is the right answer

Answer 2

Perimeter =
`(x+15)+ (x+5) + (x+15)+ (x+5)`

Explanation:

Data given in the question:

Length of the garden = 15 feet

Width of the garden = 5 feet

The length and the width of the garden was increased by an equal value.

Let x be the increased amount of length.

Thus, the new length of garden becomes (x+15) and the new width of garden becomes (x+5)

If we assume that the garden is a rectangle, then,

Perimeter of garden =
`2(\text{Length + Width})\\2((x+15) + (x+5))\\=2(2x+20)\\4x+40`

Thus, the given expression is not the right expression of the perimeter of garden.

The right expression is:

`(x+15)+ (x+5) + (x+15)+ (x+5)`