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 32:

==> 2L + 2W = 32 .......(2)

Now substitute (1) in (2):

==> 2 (5/3)W + 2W = 32

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

==> (16/3)W = 32

Multiply by 3/16:

==> W = 32*3/16 = 6

==> **W = 6 cm.**

==> L = (5/3)w = (5/3)*6 = 10

==>** L = 10 cm**

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