We can let x be the common factor shared by the length and width. Since their ratio is 5:3, then multiplying their common factor, their values would be 5x and 3x.
Now, recall that perimeter is the distance around the rectangle. Mathematically, we have Perimeter = 2(Length + Width). Since length is 5x and width is 3x, we have
2(5x + 3x) = 48
5x + 3x = 24
8x = 24
x = 3
Since the value of x is 3, the length would be 5(3) = 15 and width would be3(3) = 9. Knowing this, the area would be 15(9) = 135 feet².
Answer: 135 feet²
