A composite figure consists of triangle at the top, rectangle in the middle, and semicircle at the bottom

altitude-triangle

#1

A composite figure consists of triangle at the top, rectangle in the middle, and semicircle at the bottom. The altitude of the triangle is three times the radius (3r) of the semicircle, while the the altitude of the rectangle is four times the radius (4r) of the semicircle; if the area of the composite figure is 201 square meters, find the radius ® of the semicircle.
Note: The figures snugly fit each other. It looks like a house with the semicircle curve underneath.

Answer:

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