Question

A square piece of paper, $4$ inches on a side, is folded in half vertically. Both layers are then cut in half parallel to the fold. Three new rectangles are formed, a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?

$\dfrac{1}{3}$

$\dfrac{1}{2}$

$\dfrac{3}{4}$

$\dfrac{4}{5}$

$\dfrac{5}{6}$

Answer: E

Concepts:paper folding perimeter

Difficulty rating: 1350

Solution:

The square is folded in half to create a $4\times2$ rectangle.

Cutting the folded paper in half parallel to the fold gives two small $4\times1$ rectangles and one large $4\times2$ rectangle.

The ratio of the perimeter of a small rectangle to the perimeter of the large rectangle is $\frac{2(4+1)}{2(4+2)}=\frac{10}{12}=\frac56.$

Thus, E is the correct answer.

2001 AMC 8 Problem 16

Answer: E

Difficulty rating: 1350

Solution:

Problem 16 in Other Years