the length of a rectangular parking lot is 3 meters less than twice its width, and the perimeter is 408 meters, find the length of the parking lot.
the length of a rectangular parking lot is 3 meters less than twice its width
so
L=2W-3
and the perimeter is 408
so 2L+2W=408
you have two equations, solve for L and W
I got L=135 meters, but check the working.
To find the length of the parking lot, we need to set up an equation using the given information. Let's call the width of the parking lot "w" in meters.
According to the problem, the length of the parking lot is 3 meters less than twice its width. This means the length is (2w - 3) meters.
The formula to calculate the perimeter of a rectangle is 2(length + width). In this case, the perimeter is given as 408 meters.
So, we can write the equation as:
2[(2w - 3) + w] = 408
Now let's solve this equation step by step to find the value of "w", which will give us the width of the parking lot.
2[2w - 3 + w] = 408
2[3w - 3] = 408
6w - 6 = 408
6w = 408 + 6
6w = 414
w = 414 / 6
w = 69
Therefore, the width of the parking lot is 69 meters.
Now, we can find the length by substituting the value of "w" into the expression (2w - 3):
Length = 2w - 3
Length = 2 * 69 - 3
Length = 138 - 3
Length = 135
Therefore, the length of the parking lot is 135 meters.