Answer:
Total area is 198.6cm²
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes.
Step one
From the given figure the two semi circles left and right can be resolved as a whole (a complete circle) with diameter d 10cm
Radius r = 10/2= 5cm
Area of circle A= πr²
A= 3.142*5²
A= 3.142*25
A= 78.55
A= 78.6cm²
Step two
The remaining part of the shape is a rectangle with length (22-10)= 12cm
I.e the 10 is as a result of the radius of the two semi circles = r+r= 5+5=10
The rectangle has a width of 10cm
Area of rectangle A=12*10= 120cm²
Hence the total surface area of the shape
Total area = 120+78.6
Total area = 198.6cm²
