Grade 5 Maths · Measurement

Design a Hockey Rink: Perimeter and Area

Think like an arena engineer: the boards around the rink are the perimeter, and the ice surface inside is the area. Build rinks on the grid and read off both measurements.

Section 1 · Perimeter

The boards: measuring around the rink

By the end of this section I can calculate the perimeter of a rectangle — so I can order the right length of boards for any rink shape.

Success criteria 0 / 3 ticked

Tick each one when you can do it without help.

1A What is perimeter?

Perimeter is the total distance around the outside of a shape. For a hockey rink, that is the length of the boards that frame the ice.

The boards = the boundary

perimeterlength + length + width + widthunits: metres (m)

Walk all the way around the rink and add up every side. For a rectangle there are two equal lengths and two equal widths, so perimeter = L + L + W + W, which simplifies to P = 2 × (L + W).

A community rink

A rink is 50 m long and 25 m wide.
P = 2 × (50 + 25) add length and width first
P = 2 × 75 = 150 m that is the boards length

Check yourself

A practice rink is 65 m long and 25 m wide. What is the perimeter, in metres?

m
Add the length and width, then double the total.
P = 2 × (65 + 25) = 2 × 90 = 180 m

The boards around a small training pad total 48 m. If the pad is 14 m long, how wide is it (in metres)?

m
Halve the perimeter first, then subtract the length.
48 ÷ 2 = 24, so L + W = 24. W = 24 − 14 = 10 m

1B Build a rink, read the boards

Use the steppers to set the length and width of a rink. The grid draws it to scale and the readout shows the perimeter — the length of boards you would need to order.

Interactive · rink builder

8
5
Boards (perimeter) = 26 m  ·  Ice (area) = 40 m²

Check yourself

A rink has perimeter 80 m and length 25 m. What is its width (in metres)?

m
Halve the perimeter to get length + width, then subtract the length.
80 ÷ 2 = 40, so L + W = 40. W = 40 − 25 = 15 m

Section 2 · Area

The ice: measuring the surface inside

By the end of this section I can calculate the area of a rectangle — so I can work out how much ice surface a rink holds.

Success criteria 0 / 3 ticked

Tick each one when you can do it without help.

2A What is area?

Area is the amount of surface inside a shape. For a rink, it is how much ice you have to flood and maintain. We measure it in square metres (m²).

The ice = length × width

arealength × widthunits: square metres (m²)

Imagine tiling the rink with 1 m × 1 m squares of ice. A rectangle that is L metres long and W metres wide holds L × W of those squares, so A = L × W.

Flooding the ice

A rink is 30 m long and 18 m wide.
A = 30 × 18 length times width
A = 540 m² that is the ice surface

Check yourself

An ice pad is 12 m long and 8 m wide. What is the area of the ice, in square metres?

m²
Multiply the length by the width.
A = 12 × 8 = 96 m²

A square rink has area 49 m². What is the length of one side, in metres?

m
For a square, area equals side × side, so think of a number that multiplied by itself gives 49.
side × side = 49, so side = 7 m (because 7 × 7 = 49)

2B Same boards, different ice

Two rinks can have the same perimeter but different areas. Change the length and watch how the area changes — the biggest ice surface comes from a square rink.

Interactive · fixed 24 m of boards

6
Boards = 24 m  ·  Width = 6 m  ·  Ice area = 36 m²

Check yourself

A rink has area 72 m² and width 6 m. What is its length, in metres?

m
Divide the area by the width to find the length.
L = area ÷ width = 72 ÷ 6 = 12 m

Two rinks each use 40 m of boards. One is 10 m × 10 m and the other is 12 m × 8 m. What is the area of the square rink, in square metres?

m²
A square rink has equal length and width, so multiply 10 by 10.
A = 10 × 10 = 100 m² (the square rink has more ice than the 12 × 8 rink, which is only 96 m²)

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