Question

WILL GIVE MEDAL & FAN!

A rectangular garden next to a building is to be fenced on three sides. Fencing for the side parallel to the building costs $80 per foot, and material for the other two sides costs $60 per foot. If $2,400 is to be spent on fencing, what are the dimensions of the garden with the largest possible area?

______ feet (parallel side)
______ feet (other sides)

Answer 1

put it in a 6th grade form plz

Answer 2

ppppllllzzz

Answer 3

For this problem you have two unknowns, you don't know the length of the parallel side or the other sides, but you can make an equation which describes them. Let P eqaul the parallel side and R equal the other side, then from the problem statement we have that

80*P+60*R+60*R=2,400 eq(1)

In this equation you have already assumed that the other sides are equal. Now you have 2 unknowns and one equation. You need another equation in order to solve the proble, This comes from knowing that an equilateral triangle has the largest area thus

P=R eq(2)

Now you can substitute equation 2 into 1 and solve.