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A square measures 2√58 inches on each side. What is the area of the square (rounded to the nearest whole number)?

a. 232 in. 2✅
b. 1,296 in. 2
c. 18 in. 2
d. 91 in. 2

User Georgia
by
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1 Answer

2 votes

Answer:

Area = 232 in^2

Explanation:

Formula

A square's area is found using the following formula

A = S^2

Where A is the area

and S is the length of one side.

Solution

The 2 means that the side is squared and is written as shown above.

s = 2 sqrt(58)

Square both sides

s^2 = 2^2 * sqrt(58)^2

When a square root is squared, you get rid of the square root sign √ and you are left with what is under the square root sign.

s^2 = 4 * 58

s^2 = 232 inches ^2 which is the answer you have chosen.

User Kicaj
by
4.8k points