A rectangle has length $x$ and width $y$. A triangle has base 16 and height $x$. If the area of the rectangle is equal to the area of the triangle, then the value of $y$ is
(A) 16
(B) 4
(C) 8
(D) 12
(E) 32
The area of the rectangle with length $x$ and width $y$ is $x \times y$.

The area of the triangle with base 16 and height $x$ is $\frac{1}{2} \times 16 \times x$ or $8 \times x$.

The area of the rectangle is equal to the area of the triangle, or $x \times y=8 \times x$, and so $y=8$.

ANSWER: (C)