The length of a rectangle is 3 cm greater than its width. The area of the rectangle is 54 cm. What are the dimensions of the rectangle?

Answer 1

The length of a rectangle is 3 cm greater than its width. The area of the rectangle is 54 cm. What are the dimensions of the rectangle?

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Given that....

Area of Rectangle = Length of Rectangle x Width of Rectangle ....... A=L x W

.....we have...

54 cm = L x (L-3) or

54 = L² - 3L ....L² - 3L - 54 = 0,...BINOMIAL FACTORS.....(L+6) (L-9) = 0......L=9 OR L=-6

54 cm = (W+3) x W

54 = W² + 3W.....W² + 3W - 54 = 0...BINOMIAL FACTORS...(W-6) (W+9) = 0....W=6 OR W=-9

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Dimensions of a Rectangle are POSITIVE values.....and thus we use the POSITIVE values of the factors.....

L=9 and W=6

....these values also check....the Length (9) is 3 more than the width (6).