Question

Find the area of the shaded region.

Answer 1

25.5 units

Step-by-step explanation:

Let the area of the triangle be AT.

Let the area of the rectangle be AR.

Given the following data;

For the triangle:

Base = 3

Height = 3

`Area of triangle = \frac {1}{2}*base*height`

Substituting into the equation, we have;

`Area of triangle = \frac {1}{2}*3*3`

`Area of triangle = 1.5 * 3`

Area of triangle, AT = 4.5 units

For the rectangle:

Length = 6

Breadth = 5

`Area of rectangle = length * breadth`

Substituting into the equation, we have;

`Area of rectangle = 6 * 5`

Area of rectangle, AR = 30 units.

Now to find the area of the unshaded region, we would subtract the area of the triangle from that of the rectangle.

Area of unshaded region = AR - AT

Area of unshaded region = 30 - 4.5

Area of unshaded region = 25.5 units.