Hi
I need help on the following question:
1) A symmetrical gutter is made of metal sheeting 30cm. wide by bending it twice as shown in the cross section. Find an expression for the area of the cross section and hence find the value of for the gutter to have maximum carrying capacity.
This is what i have try to do so far.
I know that Area of a square is L*W and Area of 2 triangles is
so
Make
Don't think this is correct.
P.S
This makes no sense because you don't say what "x" means. Your area should depend on the single variable , not both and some undefined "x".
What you can do is this: you know that the hypotenuse of each right triangle is 10 so, since " ", and " ", .
Of course, the area of a right triangle is "(1/2) near side* opposite side" so .
The base of the central rectangle is 10 and the height is the "near side" of the two right triangles, so its area is .
The entire area is .
so
Make
Don't think this is correct.
P.S