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.

Guest Jul 20, 2020

#1**+1 **

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

ElectricPavlov Jul 20, 2020