I have this problem that I can't seem to figure out. I know the answer (back of the book), but I don't know how they got there.
"A rhombus is inscribed in a rectangle that is w meters wide with a perimeter of 40m. Each vertex of the rhombus is a midpoint of a side of the rectangle. Express the area of the rhombus as a function of the rectangles width"
The answer being A(w) = 10w - (w^2)/2.
I figured I could get the side of a rhombus with a^2 + b^2 = c^2 in terms of w, but I don't know about the height. ...yeah, I'm so bad math. :?
None of it seems to be leading me to that function.
If anyone could shed any light on this I would very much appreciate it.
"A rhombus is inscribed in a rectangle that is w meters wide with a perimeter of 40m. Each vertex of the rhombus is a midpoint of a side of the rectangle. Express the area of the rhombus as a function of the rectangles width"
The answer being A(w) = 10w - (w^2)/2.
I figured I could get the side of a rhombus with a^2 + b^2 = c^2 in terms of w, but I don't know about the height. ...yeah, I'm so bad math. :?
None of it seems to be leading me to that function.
If anyone could shed any light on this I would very much appreciate it.