a room is shaped like like a triangle. the area of the room is 6 square yards. The perimeter is 10 yards. How wide and long is the room?

The largest area you can enclose in a triangle with that perimeter is 4.81 sq. yards, using an equilateral triangle.

Using a right triangle, the largest area you can enclose would be with an isosceles case, and would be 4.29 sq. yd.

There is no solution to your problem.