SOLUTION: Tonya has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Create an equation that can be used to determine the length And with of the ru

Algebra ->  Rectangles -> SOLUTION: Tonya has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Create an equation that can be used to determine the length And with of the ru      Log On


   

Question 956929: Tonya has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Create an equation that can be used to determine the length And with of the rug. Justify your answer?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=area=21 sq ft; W=width; L=length=W+4ft
LW=A Substitute for L
%28W%2B4ft%29%28W%29=21ft%5E2
W%5E2%2B4W=21ft%5E2 Subtract 24ft^2 from each side.
W%5E2%2B4W-21ft%5E2=0
%28W%2B7%29%28W-3%29=0
W=-7 or W=3 ANSWER 1: The width is 3 feet.
L=W+4ft=3ft+4ft=7FT ANSWER 2: The length is 7 feet.
CHECK:
A=LW
21ft%5E2=%287ft%29%283ft%29
21ft%5E2=21ft%5E2