A rectangular parking lot has a perimeter of 254 inches. The length of the parking lot is 77 inches more than the width. Find the length and the width
2(w + w+77) = 254
2w+77 = 127
w = 25
now do the length
To find the length and width of the rectangular parking lot, we can set up an equation using the given information.
Let's assume that the width of the parking lot is "x" inches. According to the problem, the length of the parking lot is 77 inches more than the width. Therefore, the length can be represented as "x + 77" inches.
The formula for the perimeter of a rectangle is given by the equation:
Perimeter = 2(length + width)
In this case, the perimeter of the parking lot is given as 254 inches, so we can substitute the length and width into the equation:
2(x + 77 + x) = 254
Simplifying the equation:
2(2x + 77) = 254
4x + 154 = 254
Subtracting 154 from both sides:
4x = 100
Dividing both sides by 4:
x = 25
Now that we have found the width, we can substitute this value back into the equation to find the length:
Length = Width + 77
Length = 25 + 77
Length = 102
Therefore, the width of the parking lot is 25 inches and the length is 102 inches.