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Perimeter and Area Exploration

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Perimeter and Area Exploration

Choose the correct option where shown. For written problems, show your calculations and include the correct units.

Choose and calculate

1.A square skating practice pad has sides of 7 m. What is its area?

14 m²
28 m²
49 m²
49 m

2.A rectangular ice-rink practice zone is 4 m long and 85 cm wide. What is its perimeter in metres?

9.7 m
17 m
9.7 cm
17.7 m

3.A triangular rink banner has a base of 12 m and a perpendicular height of 5 m. What is its area?

60 m²
30 m²
17 m²
30 m

4.Which set lists all the correct statements? 1. Area is measured in square units, such as cm². 2. Perimeter is the distance around the outside of a shape. 3. A rectangle measuring 6 cm by 2 cm has an area of 16 cm². 4. If the side length of a square is doubled, its area becomes four times as large. 5. A rectangle's perimeter is 2 × (length + width).

Statements 1, 2, and 3.
Statements 1, 2, 4, and 5.
Statements 2, 3, 4, and 5.
All five statements.

Show your working

5.Jai is marking out a rectangular training area on the rink floor. It is 14 m long and 6 m wide. Calculate its perimeter and area, including units.

6.A rink zone is a large rectangle measuring 10 m by 7 m, with a smaller rectangular notch measuring 3 m by 2 m cut from its lower-right corner. Find the area of the remaining rink zone. Briefly explain your calculation.

7.A triangular sign beside the rink has a base of 9 m and a perpendicular height of 8 m. Calculate its area and include the unit.

8.Convert 36,000 cm² to m². Show how you convert between the square units.

9.Bodhi is comparing two rectangular rink mats. Mat A is 8 m by 5 m. Mat B is 10 m by 4 m. Which mat has the greater area, or are the areas equal? Show your calculation.

10.A square equipment mat has an area of 81 m². What is its side length, and what is its perimeter?

11.Dylan says that every rectangle with a perimeter of 24 m must have the same area. Give two different whole-number side lengths for rectangles with a perimeter of 24 m, then calculate and compare their areas.