AMC 8 Daily Practice Round 11

Complete problem set with solutions and individual problem pages

Problem 2 Medium

As shown in the figure, the area of the unshaded region is 15 square meters larger than the area of the shaded region. What is the area of the shaded region (in square meters)?

  • A.

    75

  • B.

    37.5

  • C.

    42

  • D.

    50

  • E.

    60

Answer:B

The ratio of the areas of the unshaded region to the shaded region is (12+2):10 = 7:5. Since the difference in their areas is 15 square meters, the area of the shaded region is calculated as:

\frac{15}{2} \times 5 = 37.5 \ \text{square meters}.