Posted by Ruby on .
Please help me answer this question;
1.A metal gutter open at the tops and ends, is bent up from material 30 cm wide to form a rectangular cross section.
a) If the base of the gutter is x cm wide, find the height of the gutter.
b)Show that the area of the gutter cross section is given by A = 15x  x^2/2.
Thanks.

mathematics 
Reiny,
Make a sketch of the crosssection
I would assume the you are bending the 30 cm wide piece so that the two sides of the gutter are of equal height.
then if the base is x cm, then the height must be (30x)/2 or 15  x/2 or 15  (1/2)x
Area = base x height
= x(15  x/2) = 15x  x^2/2 
mathematics 
Ruby,
thank you very much for your help.