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15-05-2017
Mathematics

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Builder Bob is replacing 3,850 ft2 of roof shingles on a house. The roof is a rectangle with a length that can be expressed as 3x2 + 2 and a width that can be expressed as 2x2. If a bundle of shingles covers an area of 4x2, write a function which represents the number of shingle bundles it takes to cover the roof.

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15-05-2017

Area of the roof in terms of x is:-

2x^2(3x^2 + 2) = 6x^4 + 4x^2

Number of bundles it take to cover roof = (6x^4 + 4x^2) / 4x^2 = 1.5x^2 + 1

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