Question
Mental Math The area of the cross section shown is 168 yd squared . What is the length of the unknown side? The figure is not drawn to scale.
12 yd
x
21 yd
Question content area bottom
Part 1
The length of the unknown side is
enter your response here yd.
12 yd
x
21 yd
Question content area bottom
Part 1
The length of the unknown side is
enter your response here yd.
Answers
GPT-4o mini
To find the length of the unknown side \( x \) in the area of the cross section, we can use the formula for the area of a rectangle:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
In this case, the dimensions of the rectangle are 12 yd, \( x \) yd, and 21 yd. Given that the area is 168 square yards, we can set up the equation as follows:
\[
12 \times x = 168
\]
To solve for \( x \), we can divide both sides of the equation by 12:
\[
x = \frac{168}{12} = 14
\]
Thus, the length of the unknown side is
\[
\boxed{14} \text{ yd}
\]
\[
\text{Area} = \text{Length} \times \text{Width}
\]
In this case, the dimensions of the rectangle are 12 yd, \( x \) yd, and 21 yd. Given that the area is 168 square yards, we can set up the equation as follows:
\[
12 \times x = 168
\]
To solve for \( x \), we can divide both sides of the equation by 12:
\[
x = \frac{168}{12} = 14
\]
Thus, the length of the unknown side is
\[
\boxed{14} \text{ yd}
\]