AMC 8 Daily Practice - Area Tricks

Complete problem set with solutions and individual problem pages

Problem 5 Medium

Square ABCD has a side length of 6 centimeters. It is known that BE = BF, EG = 3 centimeters, and FG = 5 centimeters. What is the area of the shaded part?

  • A.

    20

  • B.

    21

  • C.

    24

  • D.

    25

  • E.

    26

Answer:A

Since BE = BF, we can fold the figure as shown, resulting in a new figure.

Through this folding, the area of the shaded part can be calculated as follows: \frac{144 - 64}{4} = 20.

Thus, the area of the shaded part is 20 square centimeters.

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