Question

Find the area of a square with apothem 9 in. Round to the nearest whole number.

281 in2


305 in2


458 in2


324 in2

Answer 1

The area of the square is 324 square inches.

Explanation:

The apothem of the square is 9 inches.

The side of the square is twice the length of the apothem.

Hence, the side of the square is given by

`a=2* 9=18\text{ in}`

The area of a square is the given by

`A=a^2\\A=18^2\\A=324\text{ in}^2`

Therefore, the area of the square is 324 square inches.

Answer 2

The apothem is the line from the center of the polygon (square) to the midpoint of a side.

So, if the apothem is 9in, the length of the side is 2 * 9in = 18 in.

And, the area of the square is (length of the side)^2 = (18 in)^2 = 324 in^2

Answer: 324 n^2