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How Do I Solve to Find the Height in a Parallelogram?

A parallelogram is a quadrilateral figure that has two pairs of parallel sides. The two opposite sides are equal in length to each other, creating two sets of equal angles. For instance, squares and some rectangles are parallelograms. Circles can never be a parallelogram; they have their own set of rules. By using some of the given information of a parallelogram, the problem of solving the height can be performed.

Things You'll Need

  • Formula: a=b*h
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Instructions

    • 1

      Look at the given information for the problem. For instance, if a parallelogram has a base of 20 m and an area of 400 m, we can plug this information into the formula to solve the problem.

    • 2

      Replace the variables with the known values. The formula is a=b*h which means the area (a) is equal to the base (b) times the height (h). If we plug in our sample numbers, it would be 400=20*h.

    • 3

      Solve for h. To perform this function, we need to isolate the h. Because it is base times height, we need to divide by the base to isolate the height. Divide both sides of the equation by 20.

    • 4

      Divide 400 by 20, which equals 20. Divide 20 by 20, which equals 1. The result looks like: 20=1*h. One times h is written simply as h, or 20=h. Therefore, the height of the parallelogram is 20 m.

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