Three identical rectangles are put together to form rectangle ABCDABCD, as shown in the figure below. Given that the length of the shorter side of each of the smaller rectangles is 55 feet, what is the area in square feet of rectangle ABCDABCD?
A. 45
B. 75
C. 100
D. 125
E. 150

Perimeter and area of rectangle and square中文
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Worked solution

1. 2019 AMC 8 官方解析

如下图所示三个全等的矩形合而构成矩形ABCDABCD．一个小矩形的长比宽多5英尺，则大矩形的面积是多少平方英尺
Thus we know that the length to width of a small rectangle is 2:12 : 1. So then the width is equal to the difference, which is 55 feet. So small rectangle is of area 5050 sq ft. Total area is 150150.

Answer

E. 150

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