SOLUTION: The length of a rectangle is 3 cm greater than its width. The area is 70 square cm. find the dimensions of the rectangle.

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Question 964644: The length of a rectangle is 3 cm greater than its width. The area is 70 square cm. find the dimensions of the rectangle.
Answer by macston(5194) About Me  (Show Source):
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W=width; L=length=W+3cm; A=area=70 sq cm
WL=A Substitute for L
W%28W%2B3cm=70cm%5E2%29 Subtract 70 cm^2 from each side
W%5E2%2B3W-70=0
%28W-7%29%28W%2B10%29=0
W-7=0 or W%2B10=0
W=7 or W=-10
ANSWER 1: The width is 7 centimeters.
L=W%2B3cm=7cm%2B3cm=10cm
ANSWER 2: The length is 10 centimeters.