Question

Find the area of the shape below, giving your answer to 1 decimal place

Answer 1

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