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Find the area of the given figure
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| Photo by Math Principles in Everyday Life |
Solution:
Consider the given figure above
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| Photo by Math Principles in Everyday Life |
The given figure consists of equilateral triangle and a right trapezoid. The altitude of a right trapezoid is also a side of an equilateral triangle. Since the altitude of an equilateral triangle is not given, then we have to solve it first as follows
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| Photo by Math Principles in Everyday Life |
By Pythagorean Theorem, the altitude of an equilateral triangle is
The area of an equilateral triangle is
The area of a right trapezoid is
Therefore, the area of a given figure is
