Composite Figures

Question 1

What is a composite figures

Answer 1

It is a figure that made up or 2 or more simple figures

Question 2

How do find the area of a composite figure

Answer 2

You break up the composite figure into 2 or more simple figures.

Find the area of each simple figure

Add up the area of each figure

Question 3

What figures can this shape be broken into?

Answer 3

A rectangle and trapezium

Question 4

What figures can this shape be broken into?

Answer 4

A rectangle and trapezium

Question 5

Find the area of the trapezium?

Answer 5

Area = 0.5 * (12 + 18) * 4

= 60 cm²

Question 6

Find the area of the rectangle?

Answer 6

Area = 18 * 2

= 36 cm²

Question 7

Find the area of the figure?

Answer 7

Area = Area of trapezium + Area of rectangle

= 60 + 36 cm²

= 96 cm²

Question 8

Rather than adding figures, is there a better way to find this area?

Answer 8

Yes, Subtract one area from another

Find the area of square

Find the area of 1 triangle

The area is equal to the area of the square minus area of 4 triangles