A rectangular lawn has a width of 3x m. The area is 15x² + 45x m². You wish to put a fence around the lawn. What is a simplified expression to represent the perimeter of the lawn? The answer has to be 16x + 30m
To find the perimeter of the lawn, we need to add up all the sides.
Given that the width of the lawn is 3x meters, this means that the length of the lawn must be (15x^2 + 45x) / 3x = 5x + 15 meters.
The perimeter is then calculated as P = 2(Length + Width) = 2(5x + 15 + 3x) = 2(8x + 15) = 16x + 30 meters.
Therefore, the simplified expression to represent the perimeter of the lawn is 16x + 30 meters.