Question
A rectangle has an area of 126 square centimeters and a height of 9 centimeters. What is the length of the base?
centimeters
centimeters
Answers
GPT-4o mini
To find the length of the base of a rectangle when you know the area and the height, you can use the formula for the area of a rectangle:
\[
\text{Area} = \text{base} \times \text{height}
\]
In this case, the area is 126 square centimeters and the height is 9 centimeters. We can rearrange the formula to solve for the base:
\[
\text{base} = \frac{\text{Area}}{\text{height}}
\]
Substituting the known values:
\[
\text{base} = \frac{126 \text{ cm}^2}{9 \text{ cm}} = 14 \text{ cm}
\]
Thus, the length of the base is \( \boxed{14} \) centimeters.
\[
\text{Area} = \text{base} \times \text{height}
\]
In this case, the area is 126 square centimeters and the height is 9 centimeters. We can rearrange the formula to solve for the base:
\[
\text{base} = \frac{\text{Area}}{\text{height}}
\]
Substituting the known values:
\[
\text{base} = \frac{126 \text{ cm}^2}{9 \text{ cm}} = 14 \text{ cm}
\]
Thus, the length of the base is \( \boxed{14} \) centimeters.