SOLUTION: The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. ft., find its base and height.

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Question 1187168: The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. ft., find its base and height.
Answer by ikleyn(52786) About Me  (Show Source):
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The base of a parallelogram is twice its height.
If the area of the parallelogram is 72 sq. ft., find its base and height.
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Let the height be x;  then the base is 2x.


The area equation is


    (2x)*x = 72   sq.ft

      2x^2 = 72

       x^2 = 72/2 = 36

        x         = sqrt%2836%29 = 6.


ANSWER.  The height is 5 ft;  the base is 2*6 = 12 ft.

Solved.