Area, perimeter, and estimating shapes

Mathematics · Measurement · ages 9-10

Name ______________________ Date ____________

A rectangle is 9 cm by 6 cm. What is its perimeter?
- 30 cm
- 54 cm
- 15 cm
- 36 cm
A rectangle is 5 cm long and 3 cm wide. What is its area?
- 8 cm²
- 15 cm²
- 16 cm²
True or false: the perimeter of a rectangle is the same as adding up the length of all four sides.
Circle one: True False
A square has sides of 4 cm. What is its area, in cm²?
Answer: ______________
A square has sides of 7.5 cm. What is its area in square cm?
Answer: ______________
A garden has area 60 square metres and length 10 m. How wide is it?
- 6 m
- 50 m
- 16 m
- 600 m
A room has area 48 square metres and length 8 m. How wide is it in metres?
Answer: ______________
A path is 12.5 m long and 4 m wide. What is its area in square metres?
Answer: ______________
A leaf drawing covers 9 full grid squares and 6 half squares. Estimate its area in square units.
Answer: ______________
Ben says a rectangle that is 9 cm by 6 cm has an area of 30 cm², because he added 9 + 9 + 6 + 6. What did Ben actually calculate?
- The perimeter, not the area
- The area, correctly
- Half of the area

Answer key

For grown-ups. Fold this page away before handing over the rest.

30 cm · Perimeter is 2 x 9 + 2 x 6 = 18 + 12 = 30 cm. (54 would be the area.)
15 cm² · Area of a rectangle is length × width: 5 × 3 = 15 cm². Adding the sides only works for perimeter.
True · Perimeter is the total distance around a shape, so adding all four sides always works. The shortcut 2 × length + 2 × width just makes it faster because opposite sides match.
16 · A square's area is side × side: 4 × 4 = 16 cm².
56.25 · 7.5 x 7.5 = 56.25 square cm.
6 m · 60 / 10 = 6 m.
6 · 48 / 8 = 6 m.
50 · 12.5 x 4 = 50 square metres.
12 · 9 full squares plus 6 halves (3 wholes) gives about 12.
The perimeter, not the area · Adding all the sides gives the perimeter (30 cm), not the area. The area needs multiplication: 9 × 6 = 54 cm².