Answer:
Step-by-step 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
