A garden is 15-feet long by 5-feet wide. The length and width of the garden will each increased by the same

Answer: Perimeter = (4x + 40) feet

Step-by-step explanation:

Given that the

Length of the garden = 15 feet

And

Width of the garden = 5 feet

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

To find the expression representing the perimeter of the garden,

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)

Let us assume that the garden is a rectangle, then,

Perimeter of garden = 2 (L + W)

= 2 (x + 15 + x + 5)

= 2 (2x + 20)

= (4x + 40) feet.

Or

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

= 4x + 40