tatiyannamatth1 tatiyannamatth1

05-03-2018
Mathematics

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A rectangle with a width of (5x+2) feet and a length of (2x-1) feet has an area of 100 square feet. What is the rectangle’s width and length?

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MonsieurLeShrimp MonsieurLeShrimp

08-03-2018

w = 5x + 2
l = 2x - 1
wl = 100

(5x+2)(2x-1) = 100
10x^2 - x - 2 = 100
10x^2 - x - 102 = 0 <--this is a quadratic equation so use the quadratic formula
x = 3.24144...

w = 5(3.24) + 2 l = 2(3.24) - 1
width = 18.2 ft length = 5.48 ft

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