If all measurements are in cm, the area of the figure below is:

Explanation

First you need to visualize the shape and recognize it in basic shapes that have rules to find the areas

This is a shape of 3 halves of circles

The first shape, let's call it shape A has a diameter of 3 cm and its radius is 1.5

The second shape, let's call it shape B has a diameter of 7 cm and its radius is 3.5

The third shape, let's call it shape C has a diameter of 10 cm, which is the sum of 3 + 7 and its radius is 5

So what you need to do is to find the area of shapes using the following equations:

Area of Shape A = (π * 1.5²) / 2   ---> (1)  (shaded in red)

Area of Shape B = (π * 3.5²) / 2   ---> (2) 

Area of Shape C = (π * 5²) / 2 ---> (3)

Subtract result of equation (2) from result in equation (3) to get the area shaded in grey

Then add that result to the area of shape A and you get the result.

So, let's solve it

equation (1) = 3.5325 cm²

equation (2) = 19.2325 cm²

equation (3) =  39.25 cm²

Shape Area = equation (3) - equation (2) + equation (1) = 39.25 - 19.2325 + 3.5325 = 23.56

Note: You may get some approximations while you calculate, which may differ a little pit from the answer, but should be just in a fraction of a decimal