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

198.5 cm²

Step-by-step explanation:

From the figure above we can treat the two semi circles as 1 circle.

Now, the diameter is 10 cm

Thus;

Radius; r = 10/2

r = 5cm

Now, formula for area of a circle is;

A = πr²

Thus;

Area of 2 semi circles = Area of 1 circle = π × 5²

A_circle = 78.54 ≈ 78.5 cm²

When we take out the 2 semi circles, what we have left is a rectangle.

Now, the length of the rectangle will be;

Length; L = 22 - 5 - 5 = 12 cm

*This is because the radius of the semi circle is 5 and distance from the edge of the 22 cm length to the centre of the semi circle is 5 cm

Thus, area of rectangle is given by;

A_rect = LW

W in the image is 10 cm

Thus;

A_rect = 12 × 10

Total area of shape is;

A_total = 120 + 78.5

A_total = 198.5 cm²