Question

The letter T is formed by placing two $2 \times 4$ inch rectangles next to each other, as shown. What is the perimeter of the T, in inches?

$12$

$16$

$20$

$22$

$24$

Answer: C

Concepts:perimeter rectangle

Difficulty rating: 930

Solution:

If we found the total perimeter of the two rectangles separately, we would have gotten $2(2(2 + 4)) = 2 \cdot 2 \cdot 6 = 24.$

In the letter T, we can see that their intersection removes a piece of length $2$ from each of the rectangles. Therefore, the perimeter of the T is $24 - 2 \cdot 2 = 20.$

Thus, C is the correct answer.

2006 AMC 8 Problem 6

Answer: C

Difficulty rating: 930

Solution:

Problem 6 in Other Years