Thursday

March 5, 2015

March 5, 2015

Posted by **Ruby** on Monday, August 29, 2011 at 8:27am.

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**, Monday, August 29, 2011 at 8:42amMake a sketch of the cross-section

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 (30-x)/2 or 15 - x/2 or 15 - (1/2)x

Area = base x height

= x(15 - x/2) = 15x - x^2/2

- mathematics -
**Ruby**, Monday, August 29, 2011 at 8:53amthank you very much for your help.

**Answer this Question**

**Related Questions**

spc - a long strip of sheet metal 12 inches wide is to be formed into an open ...

geometry - a piece of rectangular sheet metal is 20 in. wide. It is made into a ...

pre-calc - construction of a rain gutter: a piece of rectangular sheet metal is ...

Pre-Calc) - a piece of rectangular sheet metal is 20 in wide. It's to be made ...

Math Wrod Problem - 1. A long strip of copper 8 inches wide is to be made into a...

math problem - A simple rain gutter is constructed using a sheet of aluminum ...

calculus - A long rectangular sheet of metal, 12 inches wide, is to be made into...

Mathematics - A cylindrical tube, open at both ends, is made of metal. The ...

calculus - Imagine making a tent in the shape of a right prism whose cross-...

math - Imagine making a tent in the shape of a right prism whose cross-section ...