A square window has an area of 81 square feet. How long is one side of the window?

Question

 No further questions

Answer 1

If we know that the window is square, then each side must be equal. If one side of the square is equal to s, then:

 

s² = 81

 

If we take the square root of both sides:

 

√(s²) = √(81)

 

Simplify:

 

s = √(81)

 

So what is √(81)?

Answer 2

Area of a square is length times width

all sides of a square are equal therefore

w*l = w*w = l*l

Since length and width are equal choose a single variable to represent both. Lets chose y

y*y=81

or

y^2=81

Find the square root of both sides to eleminate the square

y=sqr. rt. of 81

or

y=9

Therefore the length and width are both equal to 9