Question

Urgent help needed please! include all working out, any help is appreciated asap.
thankyou

Answer 1

1) 6 :5

2) £ 200 ; £ 280

4) a) 30 cm²

b) 64 cm²

5) 8 cm

6 ) 24 cm

Explanation:

1) Simplifying the ratio:

Sheeps : cow = 72 : 60

72 = 2 * 2 * 2 * 3 * 3

60 = 2 * 2 * 3 * 5

GCF = 2*2*3 = 12

Sheep : Cow = 72÷12 : 60÷12

= 6 : 5

2) Amount = £ 480

Ratio = 5 : 7

Share = 5x , 7x

5x + 7x = 480

12x = 480

Divide both sides by 12

x = 480 ÷ 12

x = £ 40

5x = 5* 40 = £ 200

7x = 7 * 40 =£ 280

4) a) b = 12 cm

h = 5 cm

`\sf \boxed{Area \ of \ triangle = (1)/(2)b*h}`

`\sf = (1)/(2)*12*5\\\\ = 6*5\\\\ = 30 \ cm^2`

b) a = 10 cm

b = 6 cm

h = 8 cm

`\sf \boxed{Area \ of \ trapizium = ((a+b)*h)/(2)} \ , where \ a \ \& \ b \ are \ parallel \ sides`

`\sf = ((10 + 6)*8)/(2)\\\\=(16*8)/(2)\\\\= 8 * 8\\\\= 64 \ cm^2`

5) b = x cm

h = 6 cm

Area of parallelogram = b*h

x * 6 = 48

x = 48 ÷ 6

x = 8 cm

6) Area of square = 36 cm²

Side * side = 36

side = √36

side = 6 cm

Perimeter of square = 4 *side

= 4 *6

= 24 cm