Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a numb

Question

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)

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1 year 2021-09-05T02:48:28+00:00 1 Answers 21 views 0

1. Given:

Area of a square frame = 81 square inches.

To find:

Perimeter of the frame.

Solution:

Let length of each side of the frame = a inches.

Area of square frame is

$$Area=a^2$$

$$81=a^2$$

Taking square root on both sides,

$$\pm\sqrt{81}=a$$

$$\pm 9=a$$

Side length cannot be negative. So, a=9 inches.

Perimeter of frame is

$$Perimeter=4a$$

$$Perimeter=4(9)$$

$$Perimeter=36$$

Therefore, the perimeter is 36 inches.