Lets call the height if the rectangle h and the width of the rectangle x.Code:c |\ | \ | \ | \ 120|____\ | x |\ | | \ | h| \ |____|___\ b 50 ^ a | | (50-x)
Using similar triangles, the height and width can be expressed as:
120 / 50 = h / (50-x)
Now the area of a reactangle is width times height.
The width is x. The height is
Therefore, the area of the rectangle is
The maximum area is found by finding the maximum turning point.
I'll leave that part for you.