The length of a rectangle is 2 inches less than
twice its width. If the area of the rectangle is 112
square inches, find the length of the rectangle.
twice its width. If the area of the rectangle is 112
square inches, find the length of the rectangle.
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Answers:
Length:14 inch
Width: 8 inch
Step-by-step explanation:
Let width be x units
therefore length=2x-2
Since area = length • breadth
Therefore 112=(2x-2)(x)
2x²-2x=112
x²-x=56
x²-x-56=0
x² - 8x+7x-56=0
x (x-8)+7 (x-8)=0
(x+7)(x-8)=0
=>x=8,-7
But length cannot be negative,thus x=8
Width=8 inches
Length=2x-2=2(8)-2=14 inches
Hence dimensions are 14 inches and 8 inches