Area and Perimeter (foundation)

Question 1

What is the perimeter of the shape below?

Answer 1

4 + 3 + 4 + 3 = 14cm

Question 2

What is the perimeter of the shape below?

Answer 2

12cm

Question 3

What is the area of the shape below?

(Assume each square is 1cm²)

Answer 3

13cm²

Question 4

What is the area of the shape below?

Answer 4

8 x 7 = 56cm²

Question 5

What is the area of the shape below?

Answer 5

4 x 5 = 20cm²

Question 6

What is the perimeter of the shape below?

Answer 6

10 + 24 + 26 = 60cm

Question 7

What ist the area of the shape below?

Answer 7

5 x 12 ÷ 2 = 30cm²

Question 8

What is the area and perimeter of the shape below?

Answer 8

Perimeter

12 + 6 + 7 + 8.4 = 33.4cm

Area

0.5(12 + 8.4) x 6 = 61.2cm²

Question 9

What is the area of the shape below?

Answer 9

Split the shape into a rectangle (6 x 4) and a square (4 x 4)

(6 x 4) + (4 x 4) = 40cm²

Question 10

What is the area of the shape below?

Answer 10

14 x 20 ÷ 2 = 140cm²

Question 11

What is the area of the shape below?

Answer 11

Triangle: 10 x 20 ÷ 2 = 100cm²

Minus the square: 100 - 16 = 84cm²

So the area is 84cm²

Question 12

What is the area of the shape below?

Answer 12

Area of the large triangle: 22 x 20 ÷ 2 = 220cm²

Area of the small triangle: 11 x 10 ÷ 2 = 55cm²

Total area: 220 – 55 = 165cm²

Question 13

What is the area of the shape below?

Answer 13

Triangle on top: 2 x 13 ÷ 2 = 13cm²

Rectangle underneath: 4 x 13 = 52cm²

Total area: 13 + 52 = 65cm²

Question 14

Which of the shapes below has the largest area?

Answer 14

Triangle area = 28cm²

Rectangle area = 28.75cm²

Trapezium Area = 28.5cm²

Rectangle has largest area.

Question 15

Convert 15cm² into mm².

Answer 15

1 cm² = 10mm x 10mm = 100mm²

15 x 100 = 1500mm²

Question 16

Convert 1.3m² into cm²

Answer 16

1m² = 100cm x 100cm = 10000cm²

1.3 x 10000 = 13000cm²

Question 17

How much will it cost to buy carpet for a rectangular room measuring 6m by 8m?

The carpet costs £12.50 per square metre.

Answer 17

The floor area is 6 x 8 = 48m²

Carpet costs 12.5 x 48 = £600

Question 18

A football field is a rectangle 160m long and 70m wide.

a) Before the game the team has to run around the field twice. How far do they run?
b) The groundsman can water the ground at a rate of 100m² per minute. How long will it take him to water the entire field?

Answer 18

a) Perimeter of field 460m

So they run 2 x 460 = 920m

b) Area of the field is 11200m²

Time to water is 11200 ÷ 100 = 112 minutes or 1 hour 52 minutes