Question

A school playground is the shape of a parallelogram. The base of the parallelogram is four times as long as the height. The area of the playground is 3800 square feet. What is the length of the longer side of the playground? Round to the nearest foot. Use A=bh.

*20 POINTS*

Answer 1

at least 123 feet

Explanation:

Using the given formula, we have ...

A = bh

3800 = b(b/4) . . . . substituting the given information

15200 = b^2

b = √15200 ≈ 123

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The base of a parallelogram is not necessarily the longest side, regardless of height. Since the base is 123 feet, we can only say that the longest side is no shorter than 123 feet.