# algebra 2

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.

1. 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.

posted by Reiny

## Similar Questions

1. ### geometry

Carlos want to show a rectangle in his drawing. What dotes he have to do to the drawing below to make the rectangle a closed shape?
2. ### math

A scale drawing of a kitchen is shown below. The scale is 1 : 20. A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches. Show your work to determine the area of the
3. ### Math

(05.01)A scale drawing of a living room is shown below: A rectangle is shown. The length of the rectangle is labeled 3 inches. The width of the rectangle is labeled 5.5 inches. The scale is 1 to 30. What is the area of the actual
4. ### geometry

rectangle a is similar to smaller rectangle b. the scale factor is 5/3. if the area of rectangle a is 150 square inches, what is the area of rectangle b?
5. ### Pre-Algebra

A rectange has dimensions of 1 and 6. Another rectangle was drawn from it using a scale factor of 1.5. A. The area of the large rectangle is how many times the area of the small rectangle? B. The perimter of the large rectangle is
6. ### Math

A rectangle is dilated using a scale factor of 6. The image is then dilated using a scale factor of 1/3. What scale factor could you use to dilate the original rectangle to get to the final rectangle. Explain.
7. ### math

A rectange has dimensions of 1 and 6. Another rectangle was drawn from it using a scale factor of 1.5. A. The area of the large rectangle is how many times the area of the small rectangle? B. The perimter of the large rectangle is
8. ### Math

Kelso created the scale drawing below what is the scale factor of his drawing 1 inch equals 8 feet the rectangle is 4 feet by 12 feet