The length and width of a rectangle are in the ration 5:3.. perimeter is 32 cm. Find length and width.Write an equation to solve it. Thank you.

length  and width are in the ratio 3:5 , the perimeter =
32.

Since perimeter is 2 times lthe sum of length and
breadth,  the sum of the lenth and breadth = 32cm/2 =
16cm.

Now 16 cm could be divided into 5:3 ratio
by:

{5/(5+3)}16cm and {3/(5+3)}16cm
or

(5*16/8) cm and  (3*16/8)cm
or

5*2 cm and 3*2cm

10 cm and
6 cm.

Therefore the length and breadth of the rectangle are
10cm and 6cm..

Check: the ratio of length and breadth 10cm
: 6cm . Divide the two terms by 2cm  and the ratio is 10cm/2cm : 6cm/2cm .
Or 5:3.

P = 2(length+breadth) = 2(10+6) =
32.