AMC 8 Daily Practice - Area Tricks

Complete problem set with solutions and individual problem pages

Problem 7 Easy

A large square and a small square are placed side by side, with the side length of the small square being 6cm. What is the area of the shaded part?

  • A.

    25 cm^{2}

  • B.

    28 cm^{2}

  • C.

    32 cm^{2}

  • D.

    36 cm^{2}

  • E.

    40 cm^{2}

Answer:D
Solution

As shown in the figure, connect the diagonals of the two squares.

Since the two diagonals are parallel, we find that the area of triangle Ⅰ is equal to the area of triangle Ⅱ.

Therefore, the area of the shaded part is converted to the area of the small square, which is: 6 \times 6 = 36 cm^{2}

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