Rectangle $A B C D$ is divided into five congruent rectangles as shown. The ratio $A B: B C$ is
(A) 3:2
(D) $5: 3$
(B) $2: 1$
(E) $4: 3$
(C) $5: 2$
Rectangle $A B C D$ is divided into five congruent rectangles as shown. The ratio $A B: B C$ is
(A) $3: 2$
(B) 2:1
(C) $5: 2$
(D) $5: 3$
(E) $4: 3$

![](https://cdn.mathpix.com/cropped/2024_04_20_33a8a6559d675f59baa2g-278.jpg?height=249&width=309&top_left_y=518&top_left_x=1301)

## Solution

If we let the width of each rectangle be $x$ units then the length of each rectangle is $3 x$ units. (This is illustrated in the diagram.) The length, $A B$, is now $3 x+x+x$ or $5 x$ units and $B C=3 x$. Thus $A B: B C=5 x: 3 x$

$$
=5: 3, x \neq 0
$$

ANSWER: (D)