Final answer:
The length of one side of the rectangle is equal to 6 feet and the length of the other side is equal to 18 feet. Therefore, the area of the rectangle is equal to 108 square feet.
Step-by-step explanation:
Let's represent the length of one side of the rectangle as x. According to the problem, the other side is 3 times the length of x, so we can represent it as 3x.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. So we have the equation: Perimeter = 2(x + 3x) = 48 feet.
We can simplify this equation to 8x = 48 and solve for x. Dividing both sides by 8, we get x = 6.
Now that we know the length of one side (x = 6), we can find the length of the other side (3x = 3 * 6 = 18).
The area of a rectangle is calculated by multiplying the lengths of its sides. So the area of this rectangle is: Area = x * 3x = 6 * 18 = 108 square feet.