Posted by **Andy G** on Tuesday, January 14, 2014 at 9:18pm.

a piece of rectangular sheet metal is 20 in wide. It's to be made into rain gutter by turning the edges to form parallel sides. Let x represent the length of each of parallel sides.

a. give restrictions on x.

b. determine a function of A that gives the area of a cross section of the gutter.

c. for what values of x will A be a max (and thus maximize the amount of water that gutter will hold?

d. what is max area?

e. for what values of x will the area of a cross section be less than 40 square in?

## Answer this Question

## Related Questions

- pre-calc - construction of a rain gutter: a piece of rectangular sheet metal is ...
- geometry - a piece of rectangular sheet metal is 20 in. wide. It is made into a ...
- calculus - A long rectangular sheet of metal, 12 inches wide, is to be made into...
- Calculus - A long rectangle sheet of metal, 15 inches wide is to be made into a ...
- Algebra 2 - A rain gutter is made by bending up the edges of a piece of metal of...
- math - You are designing a rain gutter made from a piece of sheet metal that is...
- Math Wrod Problem - 1. A long strip of copper 8 inches wide is to be made into a...
- Algebra - A box is to be formed from a rectangular piece of sheet metal by ...
- math problem - A simple rain gutter is constructed using a sheet of aluminum ...
- mathematics - Please help me answer this question; 1.A metal gutter open at the ...

More Related Questions