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Perimeter and Area Exploration

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Perimeter and Area Exploration

A neighbourhood group is planning a rectangular garden. Use the garden measurements to explore perimeter and area. Show calculations and include units.

Read the garden plan

The garden is a rectangle 8 metres long and 5 metres wide. One square metre is the area of a square that is 1 metre long on each side.

1.Calculate the area of the garden using its dimensions: 8 m long and 5 m wide.

2.The group will put a low fence around the garden. Calculate the perimeter by adding all four side lengths.

3.Which calculation gives the area of a rectangle that is 8 m by 5 m?

8 + 5 = 13 m²
8 × 5 = 40 m²
2 × (8 + 5) = 26 m²

Compare two garden designs

The group is considering a second rectangular garden that is 10 metres long and 3 metres wide.

4.Find the area and perimeter of the 10 m by 3 m garden. Include the correct units for each.

5.Compare the two garden designs. Which has the greater area, and do they have the same perimeter?

6.True or false? If two rectangles have the same perimeter, they must have the same area. Explain using the two garden designs.

7.A path 1 metre wide is planned along the outside of the 8 m by 5 m garden. What will the outside dimensions be, and what will the perimeter around the path be?

8.The group has 34 metres of edging. Can it completely edge a new rectangular garden that is 12 metres long and 5 metres wide? Show how you know.

9.A gardener covers 6 m² of the 8 m by 5 m garden with herbs. How many square metres remain for vegetables?

10.Draw a different rectangle with an area of 24 m². Label its side lengths and calculate its perimeter.