Answer: 27 cm^2
Explanation:
Let the width be w.
Then, the length would be 3*w.
The perimeter of a rectangle is 2*width + 2*length, so in this case it would be 2w + 6w.
We know the perimeter as 24 cm so we can use that to solve for w.
2w + 6w = 24
8w = 24
w = 3 cm
Since the length is 3 times the width, the length is 3*3 = 9 cm
The area of a rectangle is the length*width = 9 cm*3 cm = 27 cm^2.