Question

Bills new porch is rectangular with an area of 50 square feet if the length is two times the width what is two times the width, what is the perimeter of the porch example answer

Answer 1

Explanation:

Let L represent the length of the rectangular porch.

Let W represent the width of the rectangular porch.

The area of the rectangular porch is expressed as LW.

Bills new porch is rectangular with an area of 50 square feet. Therefore,

LW = 50 - - - - - - - - 1

if the length is two times the width, it means that

L = 2W

Substituting L = 2W into equation 1, it becomes

2W × W = 50

2W^2 = 50

W^2 = 50/2 = 25

W = √25 = 5

LW = 50

5L = 50

L = 50/5 = 10

The perimeter of he rectangle is

Perimeter = 2(L + W)

Perimeter = 2(10 + 5) = 2 × 15

Perimeter = 30 feet