there is a rectangular parking lot with a length of 2x and a width of x what is the ratio of the perimeter of the parking lot to the parking lot, in terms of x?
Perimeter = 2(2x) + 2x
I assume you want to compare it to the AREA of the parking lot.
Area = 2x^2
3:1
To find the ratio of the perimeter of the parking lot to the parking lot's area, we need to calculate the perimeter and the area first.
The formula for the perimeter of a rectangle is given by P = 2(length + width).
The formula for the area of a rectangle is given by A = length * width.
Given that the length of the parking lot is 2x and the width is x, we can substitute these values into the formulas.
Perimeter (P) = 2(2x + x)
= 2(3x)
= 6x
Area (A) = (2x)(x)
= 2x²
Now, we can find the ratio of the perimeter to the area by dividing the perimeter (P) by the area (A).
Ratio = P / A
= (6x) / (2x²)
= 6x / 2x²
Simplifying further, we can divide both the numerator and denominator by 2x to simplify the expression.
Ratio = 6x / 2x²
= 3 / x
Therefore, the ratio of the perimeter of the parking lot to the parking lot's area, in terms of x, is 3 / x.