Find the area of the figure, draw a rectangle with sides of 13 and 6 dm and in this rectangle there

Find the area of the figure, draw a rectangle with sides of 13 and 6 dm and in this rectangle there is also a rectangle with sides of 4 dm and 2 dm.

Since the shaded figure implies the exclusion of the small rectangle, it means that in order to find the required area, it is necessary to subtract the area of the inner one from the area of the large rectangle.

So, first, let’s determine the area of the large rectangle:

S1 = 13 × 6 = 78 (dm2).

Now let’s find the area of the inner rectangle in a similar way:

S2 = 4 × 2 = 8 (dm2).

Thus, the area of the required figure is:

S = 78 – 8 = 70 (dm2).

Answer: S = 70 dm2.