A trapezoid has an area of 341 square miles. One base is 8 miles long. The height measures 22 miles. What is the length of the other base
+26367 A trapezoid has an area of 341 square miles.
One base is 8 miles long.
The height measures 22 miles.
What is the length of the other base ?
\(\begin{array}{|rcll|} \hline A &=& \left(\frac{x+8}{2} \right) \cdot 22 \\ 341 &=& \left(\frac{x+8}{2} \right) \cdot 22 \\ 341 &=& (x+8) \cdot 11 \quad &| \quad : 11 \\ 31 &=& x+8 \quad &| \quad - 8 \\ 31-8 &=& x \\ 23 &=& x \\ \hline \end{array} \)
The other base is 23 miles long.
