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

Question

asked Mar 25, 2023 228k views

1 Answer

Andrew Williamson · Answer 1 · 2023-03-31T10:48:49+0000

Answer:

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)