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2023 Fall LMT Speed p10 sqaure and quad. in x-y plane

Source:

March 2, 2024
geometry

Problem Statement

A square has vertices (0,10)(0,10), (0,0)(0, 0), (10,0)(10, 0), and (10,10)(10,10) on the xāˆ’yx-y coordinate plane. A second quadrilateral is constructed with vertices (0,10)(0,10), (0,0)(0, 0), (10,0)(10, 0), and (15,15)(15,15). Find the positive difference between the areas of the original square and the second quadrilateral.
Proposed byWilliam Hua
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