AMC8 2000
AMC8 2000 · Q6
AMC8 2000 · Q6. It mainly tests Area & perimeter.
Figure ABCD is a square. Inside this square three smaller squares are drawn with side lengths as labeled. The area of the shaded L-shaped region is
图 ABCD 是一个正方形。在这个正方形内画了三个较小的正方形，边长如图所示。阴影 L 形区域的面积是
(A)
7
7
(B)
10
10
(C)
12.5
12.5
(D)
14
14
(E)
15
15
Answer
Correct choice: (A)
正确答案：（A）
Solution
Answer (A): The L-shaped region is made up of two rectangles with area $3 \times 1 = 3$ plus the corner square with area $1 \times 1 = 1$, so the area of the L-shaped figure is $2 \times 3 + 1 = 7$.
答案（A）：这个 L 形区域由两个长方形组成，每个长方形的面积为 $3 \times 1 = 3$，再加上一个角上的正方形，其面积为 $1 \times 1 = 1$，因此该 L 形图形的面积为 $2 \times 3 + 1 = 7$。
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