SOLUTION: Suppose that the length of a certain rectangle is 2 cm more than three times its width. If the area of the rectangleis 56 square centimeters, find its length and width.

Question 23797: Suppose that the length of a certain rectangle is 2 cm more than three times its width. If the area of the rectangleis 56 square centimeters, find its length and width.
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
let the length be y and let the width be x
y = 3x+2

Area = length x width
xy=56
x(3x+2)=56

--- solve for x by using quardratic formula:

In a=3, b=2, c=-56
---> divide by 2(3)

---> add the foloowing don't subtrract.
x = 4
3(4)+2 = 14
Hence, the length is 14 and the width is 4.

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