Answer:
Length = 18 cm
Width = 12 cm
Area = 216 cm^2
Step-by-step explanation:
The perimeter of a rectangle is twice it's length(l) plus twice it's width(w):
Perimeter = 2l + 2w
We are told that (l/w) = (3/2) [ratio of its length to its width is 3:2]
Therefore:
60cm = 2l + 2w
---
(l/w) = (3/2)
We can rewrite this as: l = (3/2)w
----
Now substitute this expression into the perimeter equation:
60 cm = 2l + 2w
60 cm = 2((3/2)w) + 2w
60 cm = 3w + 2w
60cm = 5w
w = 12 cm
l = (3/2)w
l = (3/2)*12
l = 18 cm
Area = 1*w
Area = (12cm)(18cm) = 216 cm^2
