Mathematics
bayanne
26

The area of a rectangular wall of a barn is 300 square feet. its length is 10 feet longer than twice its width. find the length and width of the wall of the barn.

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(1) Answers
lilchop06

L * W = 300 sq ft Length is 10 ft greater than twice the width. L = 2W + 10 Substituting (2W+10)*W = 300 2W^2 + 10W = 300 Divide both sides by 2 W^2 + 5W = 150 W^2 + 5W - 150 = 0 Factor (W +15)(W -10) = 0 Roots are W=-15 and W=10. A negative width is impossible, so W=10 L = 2W + 10 L = 2(10) + 10 L = 30  length = 30 feet, width = 10 feet  Check: 30*10 = 300

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