Question
Paolo is putting a fence around his pool. The length of the pool is 20 feet, the width is (20 minus x) feet, and the area of the pool is 300 square feet. Recall that area is length multiplied by width. The equation below models the area of the pool.
20 (20 minus x) = 300
What is the value of x? Round to the units place.
5
8
15
35
20 (20 minus x) = 300
What is the value of x? Round to the units place.
5
8
15
35
Answers
GPT-4o mini
To solve for \( x \) in the equation \( 20(20 - x) = 300 \), we can follow these steps:
1. Distribute the 20 on the left side:
\[
400 - 20x = 300
\]
2. Subtract 400 from both sides:
\[
-20x = 300 - 400
\]
\[
-20x = -100
\]
3. Divide both sides by -20:
\[
x = \frac{-100}{-20} = 5
\]
Thus, the value of \( x \) is 5. Therefore, the final answer is \( \boxed{5} \).
1. Distribute the 20 on the left side:
\[
400 - 20x = 300
\]
2. Subtract 400 from both sides:
\[
-20x = 300 - 400
\]
\[
-20x = -100
\]
3. Divide both sides by -20:
\[
x = \frac{-100}{-20} = 5
\]
Thus, the value of \( x \) is 5. Therefore, the final answer is \( \boxed{5} \).