Question

The ratio of the length and breadth of a rectangular fields is 5:3. If the perimeter of the field is 320m find it length and breadth

Answer 1

Let the length be "L" and the width "W"

We know that the ration is 5:3

Then, L/W = 5/3

Cross multiply:

==> 3L = 5W

==> L = (5/3)*W .......(1)

Also, it is given that the perimeter P is 320m:

==> 2L + 2W = 320 .......(2)

Now substitute (1) in (2):

==> 2 (5/3)W + 2W = 320

==> (10/3)W + 2W = 32

==> (16/3)W = 320

Multiply by 3/16:

==> W = 320*3/16 = 60

==> W = 60 cm.

==> L = (5/3)w = (5/3)*60 = 100

==> L = 100 cm