You are building a right-angled triangular flower garden along a stream as shown in the figure

The fencing of the left border costs $10 per foot, while the fencing of the lower border costs $2 per foot. (No fencing is required along the river.) You want to spend $600 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? [The area of a right-triangle is given by
A = xy/2.]

left border = ??
bottom border =??
garden area = ??

Question

You are building a right-angled triangular flower garden along a stream as shown in the figure

The fencing of the left border costs $10 per foot, while the fencing of the lower border costs $2 per foot. (No fencing is required along the river.) You want to spend $600 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? [The area of a right-triangle is given by 
A = xy/2.]

left border = ??
bottom border =??
garden area = ??

anonymous · Answer

a picture would be helpful
is the part against the river the hypotenuse, or one of the legs of the triangle?