In the diagram, $J L M R$ and $J K Q R$ are rectangles.

Also, $J R=2, R Q=3$ and $J L=8$. What is the area of rectangle $K L M Q$ ?
(A) 6
(B) 16
(C) 10
(D) 15
(E) 24

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-092.jpg?height=217&width=477&top_left_y=1041&top_left_x=1193)
Solution 1

Since $J L M R$ is a rectangle and $J R=2$, then $L M=2$.

Similarly, since $J L=8$, then $R M=8$.

Since $R M=8$ and $R Q=3$, then $Q M=8-3=5$.

Since $K L M Q$ is a rectangle with $Q M=5$ and $L M=2$, its area is $5(2)=10$.

## Solution 2

Since $J L=8$ and $J R=2$, then the area of rectangle $J L M R$ is $2(8)=16$.

Since $R Q=3$ and $J R=2$, then the area of rectangle $J K Q R$ is $2(3)=6$.

The area of rectangle $K L M Q$ is the difference between these areas, or $16-6=10$.

ANswer: (C)