Posted by **steven** on Sunday, July 12, 2009 at 10:57am.

A painting measuring 100cm by 55cm is to be framed with a matte border of uniform width surrounding the painting. the combined area of the picture and the matte is 9796cm^2. How wide is the matte border?

- math -
**Marth**, Sunday, July 12, 2009 at 11:10am
let x = the width of the border

The combined area of the picture with the border = (100+x)(55+x)

(100 + x)(55 + x) = 9796

5500 + 155x + x^2 = 9796

-4296 + 155x + x^2 = 0

Now, use the quadratic equation to find x.

x = (-b +/- sqrt(b^2 - 4ac))/2a

With these numbers, I assume a calculator is allowed.

x = 24, -179

The width of the border cannot be negative, so x = 24cm.

## Answer this Question

## Related Questions

- Math, please help - A matte of uniform width is to be placed around a painting ...
- please help, math question - A matte of uniform width is to be placed around a ...
- math - Sue wants to frame a picture with a matte of uniform width all around the...
- Math - A framer at a photo gallery wants to frame a print with a matte of ...
- Math - Hello there! Could You please help me with this Geometry word problem? ...
- Math - Hello there! Could You please help me with this Geometry word problem? ...
- Algebra II - A picture is four inches wide and six inches long. It has an ...
- PRE-CALC - A large painting in the style of Rubens is 3 feet longer than it is ...
- math - marisol is painting on a piece of canvas that has an area of 180 square ...
- Math - A square mirror has sides measuring 2 ft. less than the sides of a square...