Video Transcript
Below is a square which has had a
rectangle measuring four centimeters by three centimeters removed. Find the area of the shaded
part.
We have here a composite
polygon. It’s one polygon, a square, and
another polygon has been removed from it. We can, therefore, find this area
as the difference of two areas, the area of the square minus the area of the
rectangle. And we know how to calculate each
of these areas. The area of a square is its side
length squared. And the area of a rectangle is its
length multiplied by its width.
From the diagram, we can see that
the side length of the square, first of all, is seven centimeters. So, its area is seven squared. In the question, we’re given that
the dimensions of the rectangle are four centimeters and three centimeters. So, its area is four multiplied by
three. Seven squared is 49, and four
multiplied by three is 12. So, the area of the shaded part is
49 minus 12, which is 37.
The units for this area will be
square centimeters. And so, we have our answer to the
problem. The area of the shaded part found
by calculating the difference between the area of the square and the area of the
rectangle is 37 square centimeters.
