Question

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

Answer 1

Answer:

The area of the square is 324 square inches.

Step-by-step 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

$a=2\times 9=18\text{ in}$

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