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The figure above shows some of the dimensions of a triangular plaza with an L-shaped walk along two of its edges.If the width of
The figure above shows some of the dimensions of a triangular plaza with an L-shaped walk along two of its edges.If the width of
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2022-10-18
65
问题
The figure above shows some of the dimensions of a triangular plaza with an L-shaped walk along two of its edges.If the width of the walk is 4 feet and the total area of the plaza and walk together is 10,800 square feet,what is the value of x?
选项
A、200
B、204
C、212
D、216
E、225
答案
A
解析
The area of the triangular plaza is given by
(100 - 4) = 48x, and the area of the walkway is given by (x + 4)(4) + (96)(4). Since the total area of the plaza and walkway is 10,800, it follows that 52x + 400 = 10,800 and x = 200.
The correct answer is A.
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