A square room has an area of 200 square feet. how long is each wall? show your work to explain why

about 14.142ft

Step-by-step explanation:

A square has four equal sides.

The area of a square:      length * width = area

Because you know that all of the sides are equal, you can just say:

length * length = area

Multiplying a value (in this case, length) by itself is the same thing as squaring it. So, you can simplify the equation further by writing:

length² = area

Fill in what you know:

length² = 200ft²

Now, work the problem backwards by taking the square root of 200 to find the length:

√length² = √200ft²

length = 14.142ft

So, each wall is 14.142ft long

You can test this by working the problem in reverse:

14.142ft * 14.142ft ≈ 200ft²