One campus of Houston community college has plans to construct a rectangular parking lot on land bordered on one side by a highway. there are 640 feet of fencing available to fence the sides. let x represent the length of each off the two parallel sides of fencing.
sounds like a plan.
To find the dimensions of the rectangular parking lot, we can use the given information.
Let's denote the length of each of the two parallel sides of fencing as x. Since the parking lot is rectangular, the other two sides will also have a length of x.
The total length of the fencing needed to enclose all four sides of the parking lot is twice the sum of the lengths of the parallel sides:
2x + 2x = 4x
According to the problem, there are 640 feet of fencing available. Therefore, we can write the equation:
4x = 640
To find the value of x, we can solve this equation by dividing both sides by 4:
x = 640/4
x = 160
So, the length of each of the two parallel sides of fencing is 160 feet.
Therefore, the dimensions of the rectangular parking lot are 160 feet by 160 feet.