Perimeter and Area of Shapes

What is the perimeter of the following shape?

• 23 cm

• 27 cm

• 32 cm

• 29 cm

Answer explanation

Adding together all sides from 4 at the top and working clockwise.

= 4 + 5(a) + 4(b) + 3 + 8 + 8

= 32

What is the area of the following shape?

• 49 m²

• 25 m²

• 63 m²

• 56 m²

If a circular garden has a diameter of 8.8 m what would be the length of fencing needed to go around the perimeter?

• 243 m

• 55 m

• 9 m

• 28 m

What is the area of the following shape?

• 42 cm²

• 38 cm²

• 48 cm²

• 56 cm²

Answer explanation

Shape A: 2 x 10

= 20

Shape B

7 x 4

= 28

TOTAL (shape A and shape B)

20 + 28

= 48

What is the perimeter of the following shape?

• 52

• 42

• 56

• 48

Answer explanation

Starting from the 10 on the left side of the shape and moving in a clockwise direction adding all lengths of sides:

= 10 + 4 + 2 + 12 + 6 + 6 + 2 + 4 + 2 + 4

= 52

What would be the area of the following triangle?

• 32 m²

• 16 m²

• 12 m²

• 20 m²

Calculate the perimeter of the following shape.

• 40.7 m

• 28.6 m

• 30.7 m

• 22.9 m

What is the area of the following shape? (hint - calculate the area of both circles and subtract the smaller circles area from the area of the larger circle).

• 331 cm²

• 386 cm²

• 290

• 276

• 342

• 171

Answer explanation

0.5 (15+23) x 9

= 0.5 x 38 x 9

=19 x 9

= 171

A rectangle has a perimeter of 54 cm. Which of the following could be the dimensions of the rectangle?

• 13 cm by 14 cm

• 10 cm and 17 cm

• 6 cm by 9 cm

• 15 cm and 13 cm

Answer explanation

13 + 13 + 14 + 14 = 56