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The composite figure shown above is composed of a semi-circle (colored red), a rectangle (colored blue), and an isosceles triangle (colored green). The longer side of the rectangle is three times the radius of the semi-circle. The altitude of the triangle is twice the radius of the semi-circle. If the area of the triangle is 20, find the area of this composite figure.

 

 Jul 20, 2020
 #1
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Area of triangle = 1/2 b h  =   1/2  2r * 2r  = 2r^2  

           2r^2 = 20

            r^2 = 10

 

Area of rectangle   3r x 2r = 6 r^2      = 60

Area of semicircle  1/2   pi r^2 =         = 5pi

 

 

Add the REDs for the total area  

 Jul 20, 2020

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