In the diagram, rectangle $A B C D$ has area 70 and $k$ is positive. The value of $k$ is
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-152.jpg?height=485&width=591&top_left_y=1896&top_left_x=1317)
Solution

In rectangle $A B C D$, side $A B$ has length $4-(-3)=7$. Since the area of the rectangle is 70 , the length of side $A D$ must be $\frac{70}{7}=10$.

Thus, the value of $k$ is $1+10=11$.

ANSWER: (D)

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