SOLUTION: the length of a rectangle is 12 centimeters less than its width what are the dimensions of the rectangle if its area is 160 square centimeters
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Question 965007: the length of a rectangle is 12 centimeters less than its width what are the dimensions of the rectangle if its area is 160 square centimeters Answer by tenkun(12) (Show Source):
You can put this solution on YOUR website! let width =x cm
then length = x-12 cm
given that area of rectangle = 160 sq cm
l* b = 160
(x-12)*x= 160
x^2 - 12*x= 160
x^2 -12*x -160=0
x^2 -20*x+8*x -160 =0
x(x-20)+8(x-20) = 0
(x-20)*(x+8) = 0
x=20 x=-8 (negative)
hence width = 20 cm
length = 20-12 =8cm
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