Question

Bo calculated the area of a square to be

25/4
square inches. Which shows the side
length of the square?
25/2 inches
25/8 inches
5/2 inches
5/4

Answer 1

5/2 inches

Explanation:

If there is 25/4 squared inches, we could set this as an equation:

`x {}^(2) = (25 / 4)`

Now, since 25 and 4 is a perfect square, we could do this:

`x {}^(2) = (5 / 2) {}^(2)`

(distribute the square exponent to both 5 and 2 to get the original)

And since the exponent is the same, we can clearly tell x is 5/2 (or square root it)