SOLUTION: The width of a rectangle is 30% more than its length. The area of this rectangle is 2080 sq.cm. what is the area of a square whose side is half the length of rectangle?

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Question 965462: The width of a rectangle is 30% more than its length. The area of this rectangle is 2080 sq.cm. what is the area of a square whose side is half the length of rectangle?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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L=Length; W=width=1.3L ( 30% more than length=130% L=1.3L); A=area=2080 sq cm
LW=A Substitute for W.
%28L%29%281.3L%29=2080cm%5E2
1.3L%5E2=2080cm%5E2 Divide each side by 1.3.
L%5E2=1600cm%5E2
L=40cm
The length of the rectangle is 40 centimeters.
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The side of the square is therefore 20 centimeters.
Area of square=%28side%29%5E2=20cm%29%5E2=400cm%5E2
ANSWER: The area of the square is 400 square centimeters.