Question

andy's house is on a large lot. he got 100 yards of chain-link fence on sale. he wants to use all of the material to completely enclose a rectangular area in his backyard. he wants to make the fenced area 60 feet wide and as long as possible. what is the longest length possible for the sides?

Answer 1

To find the longest length possible for the sides of the rectangular area, calculate the perimeter using the given width and total length of the chain-link fence. The longest length possible for the sides is 90 feet.

Step-by-step explanation:

To find the longest length possible for the sides, we need to determine the perimeter of the rectangular area. Since the width is given as 60 feet, we can use the formula for the perimeter of a rectangle: P = 2L + 2W.

Given that the total length of the chain-link fence available is 100 yards, we need to convert it to feet by multiplying by 3 (1 yard = 3 feet). So, the total length of the fence in feet is 100 yards * 3 feet/yard = 300 feet.

Now, we substitute the given width (W = 60 feet) and the total length of the fence (P = 300 feet) in the perimeter formula and solve for the length (L):

P = 2L + 2W

300 = 2L + 2(60)

300 = 2L + 120

2L = 180

L = 90

Therefore, the longest length possible for the sides is 90 feet.