We want to find the shaded area. We could do this taking several ways. This time we are going to find the big area using two rectangles:
We will find the area for both and then add them:
area 1 + area 2
But inside of it there is an unshaded square.
That is why, we are going to substract the unshaded area:
This is
area 1 + area 2 - area 3
It will give us the shaded area.
We know that the area of a rectangle is given by
side 1 x side 2
In this case:
side 1 = 5cm
and
side 2 = 3 cm
Then, the area of the rectangle 1 is:
side 1 x side 2 = 5cm x 3 cm
= 15 cm²
area 1 = 15 cm²
We use
side 1 x side 2
For the second rectangle, we have: