Question 994300: The perimeter of a backyard is 560 feet. If the width is 125 feet less than the length, find the length of the yard. Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! The perimeter is: 2L+2W= 560 (1st formula)
And the problem says that:
W= L-125 Now apply the first formula using this value for W:
2L+2(L-125)= 560 Multiply on left
2L+2L-250= 560 Add L on left and add 250 to both sides:
4L= 810 Divide both sides by 4
L= 202.5 OK, we have our Length. And the problem says that the Width is 202.5-125= 77.5. Let's prove that we have the correct answer:
2L+2W= 560
2(202.5)+2(77.5)= 560
405+155= 560
560= 560 We have the right answer.
