Question

INNEN!!!!
The figure is composed of an isosceles
triangle with a semicircle adjacent to each
side. What is the area of the figure?
Shape 1: triangle
Area Formula:
Solve:
26 in
Shape 2: small semi-circle
Area Formula:
Solve:
20 in
24 in
Shape 3: two large semi-circles
Area Formula:
Solve:
Note Round to the
nearest hundredth
Final Answer
(Incude Units)

Answer 1

Answer:

928 sq in

Step-by-step explanation:

Area of the triangle = 1/2 bh = 1/2(20)(24) = 240

Area of semicircle with diameter of 26 = 1/2π$r^{2}$ = 1/2π($13^{2}$) = 169π/2 = 265.46

Area of other semicircle with diameter of 26 = 265.46

Area of semicircle with diameter of 20 =  1/2π$r^{2}$ = 1/2π($10^{2}$) = 50π = 157.08

Total area = 240 + 265.46 + 265.46 + 157.08 = 928 sq in