SOLUTION: A rectangle is twice as wide as it is long. If the area is 162 square meters, what are the dimensions of the rectangle?

Algebra ->  Rectangles -> SOLUTION: A rectangle is twice as wide as it is long. If the area is 162 square meters, what are the dimensions of the rectangle?      Log On


   



Question 347976: A rectangle is twice as wide as it is long. If the area is 162 square meters, what are the dimensions of the rectangle?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
*Note: Area of a rectangle is l*w
Let l represent the length. Question states w = 2*l
.
l%2A%282%2Al%29+=+162%2Am%5E2
2%2Al%5E2+=+162%2Am%5E2
l%5E2+=+81%2Am%5E2
.
l=root%282%2C81%29 = +-9 (Not able to use the -9 for length)
.
l = 9m
w = 18m (w=2*l)
.
check your answer
9m%2A18m+=+162m%5E2