Question

The length and width of a rectangle are in the ratio 5:3. The perimeter of the rectangle is 32 cm. Find the length and width.

Answer 1

P=2l+2w
32=2l+2w
total ratio=5+3=8
lets divide total perimeter with total ratio
=32/8
=4
the length is divided into 5:3
so 5x4:3x4
=20:12
so the length is 20 and width is 12
hope it helps

Answer 2

L / w = 5 / 3
3 l    = 5 w

perimeter = 2l + 2w
32 = 2l + 2w
16 = l + w
multiply by 3
48 = 3l + 3w
48 = 5w + 3w
48 = 8w
w = 6 cm

l = 5w / 3
l = 5*6 / 3
l = 10 cm