Question

Calculate the area of the composite figure below.

Answer 1

81
`m^(2)`

Explanation:

rectangle=60m^2

triangle=21m^2

21+60=81

Answer 2

81m²

Explanation:

The figure is the mixture of two composite figure rectangle and triangle.

When we find the area separately and add them, we get the area of the composite figure.

We have

Area of rectangle = length × width

In this case:

• Length = 10m
• Width = 6 m

Substitute the given value:

Area of rectangle = 10m × 6m

= 60 m²

Now,

Let find the area of triangle.

We have:

Area of triangle = ½ × Base × height

In this case:

• Height = 7m

Since opposite side of the rectangle is equal. So

• Base = 6m

Substitute the given value:

Area of triangle = ½ × 6m × 7m

= 21 m²

Now,

Area of composite figure = Area of rectangle + Area of triangle

= 60m² + 21m²

= 81 m²

Therefore, Area of the composite figure is 81m².