Posted by **Jess** on Thursday, April 26, 2012 at 3:19pm.

Carlos wants to make a scale drawing of a rectangle. he wants the rectangle to have a length of (x-1) units and an area of 1-x/x^2+1 square units. What can you say about how wide the rectangle should be? Explain.

- algebra 2 -
**Reiny**, Thursday, April 26, 2012 at 3:37pm
I will assume you want the area to be

(1-x)/(x^2 +1)

area = l x w

so (1-x)/(x^2 + 1 ) = w(x-1)

w = [ (1-x)/(x^2 + 1) ] / (x-1)

= -1/(x^2 + 1)

What I would say is "There is no real number for the width"

-since x^2 is always positive, then x^2 + 1 is always positive

Thus -1/(a positive) = a negative

We cannot have a negative width

unless you want your typed version to have a different meaning besides my interpretation.

the way you typed it it would have a value of 2 - 1/x

and I am pretty sure you didn't mean that.

## Answer this Question

## Related Questions

- Algebra - The length of a side of a rectangle is 2 units less than a number, and...
- 2nd grade math - If you have a rectangle with 24 square units 3 lines down 8 ...
- Math - The first question is this: Helen designs a rectangle with an area of 225...
- math - A rectangle has a length of 6x+3 units and a width of 8 units. Write a ...
- algebra - a rectangle with an area of 45 square units has a length that is one ...
- math - The area of a rectangle is 532 square units. Find the length and the ...
- Math - answer to travis has designed a rectangle with an area of 59 square units...
- Algebra - The length of a rectangle is one unit more than its width. If the ...
- Algebra 8th grade - The length of a rectangle is twice its width. If the area is...
- basic geometric - 10. a rectangle has width the same as a side of a square whose...