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Parallelogram ABCD and rectangle ABEF a...

Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

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To show that the perimeter of parallelogram ABCD is greater than that of rectangle ABEF, we can follow these steps: ### Step 1: Define the Perimeters The perimeter of a parallelogram is given by the formula: \[ P_{ABCD} = 2(AB + AD) \] where \( AB \) is the length of the base and \( AD \) is the height (or the length of the side opposite to base \( AB \)). The perimeter of a rectangle is given by the formula: ...
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