SOLUTION: A parallelogram has an area of 84 square centimeters and a base that is 5 centimeters longer than the height. Find the height.
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-> SOLUTION: A parallelogram has an area of 84 square centimeters and a base that is 5 centimeters longer than the height. Find the height.
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Question 428259: A parallelogram has an area of 84 square centimeters and a base that is 5 centimeters longer than the height. Find the height. Answer by kittycat1613(12) (Show Source):
You can put this solution on YOUR website! Area of a parallelogam= base x height
Let x= length of height in centimeters
x+5= length of base in centimeters
base * height= area
base * height= 84
x (x+5)=84[-> distribute the x+5 with the x]
x^2+5x=84 [subtract 84 from both sides]
x^2+5x-84=0 [factor the equation]
(x+12)(x-7)=0 [find the two roots]
x=-12 OR x=7 [can't be -12 b/c when finding dimensions of a parallelogram, has to be positive]
x=7
x+5=12
The height is 7 centimeters.
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