Blue prints allow an area of 20,000 square feet for the playground. the width of the rectangular playground is 80 feet less than its length and its perimeter is 640 freet. what is the length of the playground?
Let L = length
W = L-80
So L-80 + L-80 + L + L = 640.
Solve for L.
Area = L * W
Perimeter = 2L + 2W
W = L - 80
So, plug in the width formula into the perimeter equation, which would look like this:
640 = 2L + 2(L-80)
640 = 2L + 2L - 160
640 = 4L - 160
800 = 4L
L = 200
It looks like you don't even need the information about the area of the playground; just the perimeter.
Hope this helps! If you have any questions about my method just post :)
To find the length of the playground, we can set up an equation based on the given information.
Let's assume the length of the playground is "L" feet. According to the problem, the width is 80 feet less than the length, so the width would be "L - 80" feet.
The formula for calculating the perimeter of a rectangle is: P = 2L + 2W.
Given that the perimeter is 640 feet, we can substitute the values into the formula: 640 = 2L + 2(L - 80).
Simplifying the equation:
640 = 2L + 2L - 160
640 = 4L - 160
4L = 800
L = 800 / 4
L = 200
Therefore, the length of the playground is 200 feet.