Question

Marcos is building a dog run for his new puppy. He has enough money to buy 75 feet of fencing. He wants to fence in a rectangulararea and it should be at least twice as long as it is wide. Which system of inequalities represents the possible lengths L and widths Wfor his dog run?

Answer 1

Let the length of the fence be L

Let the wide of the fence be W

Since, he can afford 75 feet fencing

Therefore, the perimeter of the fence = 75

Perimeter = 2( L + W)

The length of the fence should be twice as long as the wide

W = 2L

P = 75

2(L + 2L) < = 75