SOLUTION: a rectangle has an area of 108 cm to the second power. Its width is 3 cm longer than its length. Find the dimensions of the rectangle. (a labeled diagram and algebraic solution

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Question 1035688: a rectangle has an area of 108 cm to the second power. Its width is 3 cm longer than its length. Find the dimensions of the rectangle. (a labeled diagram and algebraic solution are required to receive full credit).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w for width and L for length;
system%28wL=108%2Cw=3%2BL%29
Substitute and solve the resulting quadratic equation and then use it to evaluate the other variable.




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The number, 108, is not to the second power. Read the measure carefully. An area is being described. The number tells information about the area. A linear dimension unit, length, is to the second power - not the number.