need help on a word problem

User Generated

avxxv_xnar17

Mathematics

Question Description

If a storm window has an area of 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide (w x h)

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Explanation & Answer

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Area = W x H
315 = (6 + x)(x)
315 = 6x + x^2
x^2 + 6x - 315 = 0
(x + 21)(x - 15)
x = -21 or 15
x cannot be negative, so disregard the -21
therefore,
width = 15
height = 21

test: A = 15*21 = 315


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ivpxl qnivq (178)
Cornell University

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