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Perimeter and area

This activity focuses on calculating the perimeter and area of lawns, which is essential for determining the amount of lawn feed and edging required. Discover how to measure the perimeter of various shapes, including rectangles and L-shaped areas, using formulas like perimeter = length + width + length + width. Learn how to calculate area with formulas such as area = length × width. Additional examples illustrate how to find these measurements in real-world scenarios to help gardeners plan their landscaping projects efficiently.

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Perimeter and area

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  1. Free-Standing Mathematics Activity Perimeter and area

  2. How much lawn feed do I need? How much edging do I need to go around the lawn? The gardener needs to work out the perimeter and the area of the lawn

  3. The perimeter of a shape is the total length of its sides 5 m lawn 3 m length width width length Perimeter of a rectangle = length + width + length + width Perimeter of this lawn m = 16 = 5 + 3 + 5 + 3 Think about Is there another way to find the perimeter?

  4. Area Area measures the surface of something 1metre 1cm 1 mm 1 mm 1 metre 1 cm 1 mm2 1 m2 1 cm2 1 square metre

  5. Area of a rectangular lawn 5 metres long 3 metres wide The area is 15 square metres = 15 m2 Area of a rectangle = length × width

  6. Area of rectangle = length × width 21cm 65 m page 32 m 30cm Area of field = 65 ×32 field = 2080 m2 Area of the page = 30 ×21 = 630 cm2

  7. 3 m 1.5 m 4.5 m 2.2 m 3 m 5.2 m To find the perimeter of this L-shaped room Think about What else is needed? Perimeter 3 + 1.5 + 2.2 + 3 + 5.2 + 4.5 = 19.4 m

  8. 3 m 1.5 m 4.5 m 2.2 m A 3 m B 5.2 m To find the area of this L-shaped room Think about How can we do this? Area of A = 4.5 × 3 = 13.5 m2 = 3 × 2.2 Area of B = 6.6 m2 Total area = 13.5 + 6.6 = 20.1 m2

  9. 3 m A 1.5 m 4.5 m 2.2 m B 3 m 5.2 m To find the area of this L-shaped room Another way Area of A = 3 × 1.5 =4.5 m2 Area of B = 5.2 × 3 =15.6 m2 Total area = 4.5 +15.6 = 20.1 m2

  10. 3 m 4.5 m 2.2 m 3 m 5.2 m To find the area of this L-shaped room Yet another way! 1.5 m Area of large rectangle = 5.2 × 4.5 = 23.4 m2 Area of small rectangle = 2.2 × 1.5 = 3.3 m2 Think about Which way was best? = 20.1 m2 Total area = −3.3 23.4

  11. At the end of the activity • What does the word ‘perimeter’ mean? • How do you find the perimeter of a shape? • What units are used for perimeters? • How do you find the area of a shape? • What units are used for areas? • How would you find the area of this shape? Car park Play area Mirror surround Carpet

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