Question

Answer the c one please

Answer 1

Answer:

The parallel sides are 24cm and 36cm

Step-by-step explanation:

Area of trapezium = 1/2 x h x (a+b)

and a = b+12

we substitute the value of a in the equation of the area of trapezium

1/2 x h x ((b+12)+b)

h = 18cm

and area = 540cm^2

therefore we get,

1/2 x 18 x (2b + 12) = 540

we multiply both sides by 2

18 x (2b + 12)= 1080

we divide both sides by 18

2b + 12 = 60

we subtract both sides by 12

2b = 48

we divide both sides by 2

b = 24

therefore b = 24

and a = 24 + 12 = 36

Answer 2

Step-by-step explanation:

Area - 540cm²

altitude- 18cm

let one parallel side be x

therefore, other side : 12+x

area of trapezium :

$\frac{1}{2} \times sum \: of \: parallel \: sides \times altitude$

540=1/2*(x+12+x)*18

540÷18=1/2*(x+12+x)

30=1/2*(x+12+x)

60=x+12+x

60-12=2x

48=2x

X=24

therefore one side =24cm

another side =x+12=24+12=36cm