Answer:
216cm²
Step-by-step explanation:
Lets have the ratio as an equation:
3x : 2x
The perimeter of a rectangle is 2 * (length + width)
We can then substitute length and width with the given x.
2 * (3x + 2x) = 60cm
2 * 5x = 60
5x = 60/2
5x = 30
x = 6
We can then check our work by replacing x with 6
3 * 6 = 18
2 * 6 = 12
18 : 12 = 3 : 2 (check)
2 * (18 + 12) = 2 * 30 = 60 (check)
We then know area is solve using length times width.
18 * 12 = 216cm²
