The length of a rectangle is 11 centimeters less than three timesthree times its width. its area is 42 square centimeters. find the dimensions of the rectangle.

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27-06-2017
Mathematics

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The length of a rectangle is 11 centimeters less than three timesthree times its width. its area is 42 square centimeters. find the dimensions of the rectangle.

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tonb tonb · Answer 1 · 2017-06-27T12:22:07+02:00

tonb tonb

27-06-2017

Let's call the length l and the width w. The text says

3w-11 = l
lw = 42

This we can solve:

w(3w-11) = 42 => 3w² - 11w - 42 = 0

using the quadratic formula, you'll find that w=6.
Then l=7

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