In the diagram, the perimeter of the rectangle is 56 . What is its area?
(A) 247
(B) 187
(C) 169
(D) 135
(E) 775

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-093.jpg?height=225&width=358&top_left_y=988&top_left_x=1293)
Since the perimeter of the rectangle is 56 , then

$$
\begin{aligned}
2(x+4)+2(x-2) & =56 \\
2 x+8+2 x-4 & =56 \\
4 x+4 & =56 \\
4 x & =52 \\
x & =13
\end{aligned}
$$

Therefore, the rectangle is $x+4=17$ by $x-2=11$, so has area $17(11)=187$.

ANSWER: (B)