Area and perimeter of trapezium

Question 1

How is the area trapezium related to the parallelogram?

Answer 1

The area of a trapezium is half the area of the parallelogram

The base of the parallelogram is equal to the sum of the parallel sides of the trapezium

Question 2

How we find the perimeter of the trapezium?

Answer 2

We add the 4 sides of the trapezium

12 cm + 10 cm + 13 cm + 15 cm = 50 cm

Question 3

How do we identify the height of a trapezium

Answer 3

The height is at right angled to both of the parallel sides

12 cm is the height

Question 4

How do we find the area of a trapezium

Answer 4

We first add the 2 paerallel sides

Multiply this to the height

Divide this by 2 or multiply by half

0.5 * (13 cm + 17 cm ) * 12 cm = 180 cm²

Question 5

What is the area of the trapezium?

Answer 5

0.5 * (8 cm + 11 cm) * 6 cm = 57 cm²

Question 6

What is the area of the trapezium?

Answer 6

0.5 * (18 cm + 24 cm) * 13 cm = 273 cm²

Question 7

What is the perimeter of the trapezium?

Answer 7

24 cm + 14 cm + 6 cm + 14 cm = 58 cm

Question 8

What is the area of the trapezium?

Answer 8

0.5 * (24 cm + 6 cm) * 11 cm = 165 cm²

Question 9

What is the perimeter of the trapezium?

Answer 9

9 cm + 20 cm + 21 cm + 16 cm = 66 cm

Question 10

What is the area of the trapezium?

Answer 10

0.5 * (9 cm + 21 cm) * 16 cm = 240 cm²