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Perimeter and area

Free-Standing Mathematics Activity. Perimeter and area. 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. The perimeter of a shape is the total length of its sides. 5 m. lawn.

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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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