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Word Problem, equation

The perimeter of a rectangular floor is 120 feet. Find the dimensions of the floor if the length is twice the width

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Francisco E. | Francisco; Civil Engineering, Math., Science, Spanish, Computers.Francisco; Civil Engineering, Math., Sci...
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The equations to solve this problem are:
120 = 2a +2b
a = 2b
then
120 = 4b +2b
b=20 width
a = 40 length