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A square has an area of 200 square feet. How long is each side in simplest radical form? If I increase the length of each side by 2, what is the new area in simplest radical form?

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Answer:

a) 14.14 feet

b) 260.5 square feet

Explanation:

A square has an area of 200 square feet.

a) How long is each side in simplest radical form?

Area of a square = (side length)²

Side length = √Area

Side length = √200 square feet

= 14.142135624 feet

≈ 14.14 feet

b) If I increase the length of each side by 2, what is the new area in simplest radical form?

= 14.14 feet + 2

= 16.14 feet

New area = (16.14 feet)²

= 260.4996 square feet

Approximately = 260.5 square feet

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