Answer:
987 cm²
Step-by-step explanation:
We are given a figure which consists of the a triangle, a rectangle, and a semicircle.
To find the area of the figure, calculate the area of each shape that makes up the figure as follows:
=>Area of triangle: ½(a*b)
Leg a = 20cm
Leg b = 49-34 = 15cm
Area = ½(20*15) = 300/2
Area = 150 cm²
==>Area of rectangle: L*W
L = 34cm
W = 20cm
Area = 34*20 = 680cm²
==>Area of semicircle: ½πr²
r = ½ of 20cm = 10cm
Area = ½*3.14*10² = ½*3.14*100
Area = 314/2
Area = 157cm²
Area of the figure = 150+680+157 = 987 cm²
