Question

Victoria drew a square with an area of 20 1/4

Answer 1

To find the side length of a square, you can use the formula for the area of a square:

\[
\text{Area} = \text{side}^2
\]

In this case, the area is \(20 \frac{1}{4}\), which can be converted to an improper fraction:

\[
20 \frac{1}{4} = 20 + \frac{1}{4} = \frac{80}{4} + \frac{1}{4} = \frac{81}{4}
\]

Now you can set up the equation:

\[
\text{side}^2 = \frac{81}{4}
\]

To find the side length, take the square root of both sides:

\[
\text{side} = \sqrt{\frac{81}{4}} = \frac{\sqrt{81}}{\sqrt{4}} = \frac{9}{2} = 4.5
\]

Thus, the side length of the square is \(4.5\) units.