2022 AMC 8 Problem 1

Attempt Problem 1 of the 2022 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2022 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 11-inch squares. What is the area of the logo in square inches?
1010
1212
1313
1414
1515
Answer: A
Concepts:area decomposition
Small hint:
Break the logo into congruent tilted squares
Big hint:
Each tilted square is half of a 22 by 22 grid square
Solution:
The logo is made from 55 congruent tilted squares. Each tilted square has both diagonals of length 22, so its area is 2⋅22=2\frac{2\cdot2}{2}=2 square inches.
The total area is 5⋅2=105\cdot2=10.
Thus, the correct answer is A.
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.