£560 is divided between Kate, Nima & Roshana so that Kate gets twice as much as Nima, and Nima gets three times as much as Roshana. How much does Nima get?

£168

Step-by-step explanation:

Amount to be shared = 560

Roshana's share = x

Nima's share = 3x

Kate's share = 2 * 3x = 6x

X + 3x + 6x = 560

10x = 560

x = 560 / 10

x = 56

Nima's share = 3x

Nima's share = 3* 56 = £168

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2