A couple wants to install a square mirror that has an area of 500 square inches. To the nearest tenth of an inch, what length of wood trim is needed to go around the mirror?

120 in.

To find the length of wood trim needed to go around the square mirror, we need to calculate the perimeter of the mirror.

The formula for finding the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side of the square.

In this case, we are given the area of the square mirror as 500 square inches. The formula for finding the area of a square is A = s^2, where A is the area and s is the length of one side of the square.

1. Using the formula for the area, solve for s:
500 = s^2

2. Take the square root of both sides to find the value of s:
√500 = s ≈ 22.36 inches (rounded to the nearest hundredth)

3. Plug the value of s into the formula for the perimeter:
P = 4s
P = 4(22.36)
P ≈ 89.4 inches

Therefore, to the nearest tenth of an inch, a length of wood trim of approximately 89.4 inches is needed to go around the square mirror.

the side length is √500

the square has 4 sides, so ...

What is the square root of 500?

Multiply that by 4.