AMC 8 Daily Practice - Area Tricks

Complete problem set with solutions and individual problem pages

Problem 6 Easy

The area of a regular octagon is 40 square centimeters. What fraction of the area of the octagon is shaded?

  • A.

    \frac{1}{3}

  • B.

    \frac{15}{32}

  • C.

    \frac{1}{2}

  • D.

    \frac{3}{5}

  • E.

    \frac{9}{16}

Answer:C

By means of division, the octagon is divided into 4 rectangles and 8 triangles.

The shaded part contains 2 rectangles and 4 triangles.

Therefore, the area of the shaded part accounts for \frac{1}{2} of the total area.

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