SOLUTION: the width of a rectangle is half as long as length. the rectangle has an area of 32 square feet. what are the length and width of the rectangle?

Question 629172: the width of a rectangle is half as long as length. the rectangle has an area of 32 square feet. what are the length and width of the rectangle?
Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
Let the length be x. As the width is half that distance the width is 1/2 x.
Area = length x width
so the area is x times 1/2x = 1/2 x^2 (where x^2 means x squared)
32 = 1/2 x^2 multiply each side by 2
64 = x^2
x = 8
so the length is 8 feet and the width is half of that 4 feet.
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