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Lawn Area Investigation: Different Shapes and Sizes

Explore the area calculations for square, rectangle, triangular, circle, L-shape, and trapezium lawns in gardening services. Learn how to calculate varying lawn shapes with different dimensions accurately.

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Lawn Area Investigation: Different Shapes and Sizes

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  1. Equations InvestigationPeters Gardening Service By Todd Francis

  2. SQUARE LAWN  X X2= area Area= 64m2 √ 64= 8 X= 8

  3. RECTANGLE LAWN  1) L x W= 64m2 L x 4= 64m2 64 ÷ 4= 64m2 16 x 4= 4m2 2) L x W= 64m2 1 x W= 64m2 64 ÷ 1= 64 1 x 64= 64m2 L W

  4. 3) L x W= 64m2 5) L x W= 64m2 L x 8= 64m2 L x 4= 64m2 64 ÷ 8= 8 64 ÷ 4= 16 8 x 8= 64m2 16 x 4= 64m2 4) L x W= 64m2 5 x W= 64m2 64m2 ÷ 5= 12.8 5 x 12.8= 64m2

  5. Triangular Lawn  1) 0.5 x3 x H = 64m2 3 x H= 64m2 64 ÷ 3= H H= 21.34 2) 0.5 x 11 x H= 64m2 5.5 x H= 64m2 64 ÷ 5.5= H H= 11.63 H B

  6. 3) 0.5 x9 x H= 64m2 5) 0.5 x13 x H= 64m2 4.5 x H= 64m2 6.5 x H= 64m2 64 ÷ 4.5= H 64÷ 6.5= H H= 7.12 H= 9.85 4) 0.5 x7 x H= 64m2 3.5 x H= 64m2 64 ÷ 3.5= H H= 14.23

  7. Circle Lawn  A= πr2 64 ÷ π= 20.42 √20.4 = 4.5m r= 4.5m2 R

  8. L-Shape Lawn  There are 3 squares in this Lawn because: 64m2 ÷ 3= 21.3333333m2 21.3333333 x 3= 64m2 L L L L

  9. Trapezium Lawn  I choose a Trapezium. To work out the area of a Trapezium is: A = ½ (a+b) h. ½ (17+ 11) X 72 = 64m2. To work out the height of the Trapezium you do the equation 64 – (a + b) ÷ ½ = h. 1) If A was 10m,B6m andH96m. ½ (10 + 6) X 96 = 64m2. 2) If A was 2m,B15m andH58m. ½ (20 + 15) X 58 = 64m2. 3) If A was 17m, B11m andH72m. ½ (17 + 11) X 72 = 64m2. A H B

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