Question

susan is putting a fence around her rectangular garden.this width of the garden can be represented as (2x+4) feet. The length of the garden can be represented as (7x-1) feet.Write an expression to represent the total amount of fencing susan will need?

Answer 1

18x+6

Explanation:

You want the total length of fence required to enclose a rectangular garden with width (2x+4) and length (7x-1) feet.

Perimeter

The perimeter of a rectangle is given by the formula ...

P = 2(L+W)

Substituting the given length and width, we find the perimeter to be ...

P = 2((7x-1) +(2x+4))

P = 2((7+2)x +(-1+4)) = 2(9x +3)

P = 18x +6

The total amount of fencing Susan needs is represented by the expression (18x+6).