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)

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)

anonymous · Answer

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)

anonymous · Answer

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.

anonymous · Answer

like 80R+60R+60R=2400 ?

anonymous · Answer

yes

anonymous · Answer

So I solve for R?

anonymous · Answer

yes sir

anonymous · Answer

That gives only one output. I need two.

anonymous · Answer

i cant really tell you the answer but that's really how much ik. I'm super sorry but again, i tried my best.

anonymous · Answer

here instead of giving me a medal and fan ill do it