Success Homeschool

Year 5 Mathematics · Area and perimeter

Name: ______________________

Date: ____________

1. What is the area of a rectangle that is 7 cm long and 4 cm wide?
- ☐ (a) 11 cm²
- ☐ (b) 22 cm²
- ☐ (c) 28 cm²
- ☐ (d) 28 cm
2. What is the perimeter of a rectangle that is 10 m long and 3 m wide?
- ☐ (a) 13 m
- ☐ (b) 26 m
- ☐ (c) 30 m
- ☐ (d) 30 m²
3. Which unit is the most sensible for measuring the area of a lounge room floor?
- ☐ (a) Metres
- ☐ (b) Litres
- ☐ (c) Square centimetres
- ☐ (d) Square metres
4. A square has a perimeter of 20 cm. How long is each side?
- ☐ (a) 5 cm
- ☐ (b) 4 cm
- ☐ (c) 10 cm
- ☐ (d) 80 cm
5. What is the area, in square centimetres, of a square with sides 9 cm long?
6. A rectangular paddock is 25 m long and 15 m wide. How many metres of fencing are needed to go all the way around it?
7. A rectangle has an area of 24 m². One side is 6 m long. How many metres long is the other side?
8. A bedroom floor is a rectangle 4 m long and 3 m wide. Carpet costs $30 per square metre. How many dollars will it cost to carpet the floor?

Answer sheet

1. 28 cm² — Area = length × width = 7 × 4 = 28, measured in square centimetres: 28 cm².
2. 26 m — 10 + 3 + 10 + 3 = 26 m.
3. Square metres — Area needs square units, and a room is large, so square metres are the most sensible.
4. 5 cm — A square has 4 equal sides, so each side is 20 ÷ 4 = 5 cm.
5. 81 cm² — Area = 9 × 9 = 81 cm².
6. 80 m — Perimeter = (25 + 15) × 2 = 40 × 2 = 80 m.
7. 4 m — Length × width = 24, and 6 × 4 = 24, so the other side is 4 m.
8. $360 — Area = 4 × 3 = 12 m². Cost = 12 × $30 = $360.