The area of the parallelogram is 56 square miles. find its base and height. height= x-5 base= x+5

The equation for the area of a parallelogram is: 
A = area, b = length of base, h = height

You are told that the height, h = x - 5, and base, b = x + 5. You are also told that the area is 56.

1) Plug these values into the equation. Multiply (x-5) and (x+5) by foiling:


2) Solve for the value of x

Note that x could also equal -9, but since we're looking for lengths of a shape, the lengths can't be negative!

3) Plug the value of x = 9 miles back into the equations for height and base to find the length of the base and height:


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Height = 4 miles, Base = 14 miles

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