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
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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
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
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