Question

If the floor of a square office is 196 square units, what is the perimeter of the office?

Answer 1

I'm assuming the area is 196 units².

The length and width measure the same because it's a square office, and squares have four sides of equal length. The first thing you need to do is find the length and width. To find it, you have to find the square root of 196.

$\sqrt{196} = 14$

The length is 14 units. Now you can find the perimeter.

Perimeter is the distance around a shape. The formula for finding distance is:

$2(l)+2(w)$

Substitute the variables with the measures. The length and width are both 14

$2(14)+2(14)$

Multiply:

$28+28$

Add:

$28+28=56$

The perimeter of the office is 56 units.