To Find: To discuss the perimeter of rectangular and non-rectangular parallelograms.
Answer to Problem 38HP
The answer is never.
Explanation of Solution
Given information: Given height and area of both the parallelograms are same.
Formula used: Area of parallelogram
Let the height be h and area be A of the given parallelograms.
Thus, base side of first parallelogram is
Similarly, the base of second parallelogram is
Thus, the base side of both the parallelograms are equal.
So, the perimeter of both the parallelograms are also equal.
Hence, the perimeter of non-rectangle parallelogram is never greater than the perimeter of rectangle.
Chapter 11 Solutions
Geometry, Student Edition
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