1. Equations Investigation Peters 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= x 12.8= 64m2

5. Triangular Lawn 
1) 0.5 x 3 x H = 64m2 3 x H= 64m2 64 ÷ 3= H H= ) 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 x 9 x H= 64m2 5) 0.5 x 13 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= ) 0.5 x 7 x H= 64m2 3.5 x H= 64m2 64 ÷ 3.5= H H= 14.23

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

8. L-Shape Lawn 
There are 3 squares in this Lawn because: 64m2 ÷ 3= m 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, B 6m and H 96m. ½ (10 + 6) X 96 = 64m2. 2) If A was 2m, B 15m and H 58m. ½ ( ) X 58 = 64m2. 3) If A was 17m, B 11m and H 72m. ½ ( ) X 72 = 64m2. A H B