Question

The length and breadth of a rectangular field are in the ratio 11:7. If its perimeter is 32m 40 cm, find its dimensions

Answer 1

let the common multiple be x
now, l=11x
b=7x
and perimeter=32m40cm=32×100+40
=3240cm
perimeter of rectangle=2(l+b)
3240=2(11x+7x)
3240=2(18x)
3240/2 =18x
1620=18x
1620/18=x
x=90
so, their dimensions are...
length=11×90
=990cm
and,breath=7×90
=630cm

Answer 2

Answer:

let the common multiple be x

now, l=11x

b=7x

and perimeter=32m40cm=32×100+40

=3240cm

perimeter of rectangle=2(l+b)

3240=2(11x+7x)

3240=2(18x)

3240/2 =18x

1620=18x

1620/18=x

x=90

so, their dimensions are...

length=11×90

=990cm

and,breath=7×90

=630cm

Step-by-step explanation: