AMC 10 Daily Practice Round 2

Complete problem set with solutions and individual problem pages

Problem 4 Easy

Two squares of side lengths 2 and 3 lie within a third square of side length 5, as shown below. What is the area of the shaded region?

  • A.

    11

  • B.

    11.5

  • C.

    12

  • D.

    12.5

  • E.

    13

Answer:D

Each of the 4 shaded triangles can be paired with a congruent but unshaded triangle, and vice versa. Hence, the shaded region and the combined unshaded regions have the same area, so the shaded region has half the area of the entire square. The requested answer is therefore \frac{5^2}{2}=12.5.

Related Problems
Problem 2 AMC 10 Daily Practice Round 2
Problem 3 AMC 10 Daily Practice Round 2
Problem 5 AMC 10 Daily Practice Round 2
Problem 6 AMC 10 Daily Practice Round 2
Think Academy Powered by ChatGPT