Question

the following year, you decide to have a bigger vegetable garden which measures 520 square yards. approximate each side of the garden to the nearest tenth. draw a picture and label it. 22.8 thinking about the previous problem, how much is each side of the square? explain your solution.

Explanation:

Step1: Recall the area formula for a square

The area formula for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length of the square.

Step2: Solve for the side - length

Given that $A = 520$ square yards, we can solve for $s$ by taking the square root of both sides of the equation $A=s^{2}$. So, $s=\sqrt{A}=\sqrt{520}$.

Step3: Calculate the square - root and round

Using a calculator, $\sqrt{520}\approx22.8035$. Rounding to the nearest tenth, we get $s\approx22.8$ yards.

Answer:

Each side of the square vegetable garden is approximately 22.8 yards. This is because the area of a square is given by the formula $A = s^{2}$, and when $A = 520$ square yards, solving for $s$ gives $s=\sqrt{520}$, which, when rounded to the nearest tenth, is 22.8 yards.