When a square of area 4 is dilated by a scale factor of k, we obtain a square of area 9. Find the sum of all possible values of k.

I do not understand...it is not 3/2, as I was told, but I don't understand why? Help?

1. 👍 0
2. 👎 0
3. 👁 447
1. A square with an area of 4 has to have all sides equal to 2. Right?

If I increase by a factor of k that means multiply 2 times k

My area is 2k times 2k = 4k^2

I would set this equal to 9

I am getting 3/2 for the value of k

-3/2 is another possibility, but we have to discount it because we don't measure distance as negative numbers.

I agree with your 3/2, but I wonder if someone else summed -3/2 and 3/2 = 0

1. 👍 0
2. 👎 0
2. thanks a lot i appreciate your time

1. 👍 0
2. 👎 0

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

1. Write the ratio in the simplest form. 50: 10 (1 point) 25: 5 10: 2 5: 1* 1: 5 2. Solve the following proportion x over 2 = 8 over 9 (1 point) 144 0.44 1.78* 36 3. Sarah’s mother has a miniature village modeled after her home

2. ### Math

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x, y) represents the location of any point on the original

3. ### algebra, HELP!

9. The sides of a rectangle are increased by a scale factor of 4. The perimeter of the smaller rectangle is 20 cm. What is the perimeter of the larger rectangle? (1 point) 320 cm 80 cm 120 cm 60 cm 10. A right triangle has an area

4. ### Math

The image below shows two dilated figures with lines KL and K’L’ drawn. If the smaller figure was dilated using a scale factor of 2, what relationship do lines KL and K’L’ have?

1. ### 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.

The sides of a square are increased by a scale factor of 7. The perimeter of thr smaller square is 16 ft. What is the perimrter of the larger square? A. 4 ft B. 28 ft C. 56 ft D. 112 ft Is the answer A? Thank you

3. ### Math: Geometry

isosceles trapezoid ABCD is shown below with a line ef drawn through its center. Of the isosceles trapezoid is dilated using a scale factor of 1/2 and a line is drawn through the center of the new dilated figure, what relationship

4. ### Math

11. Figure A’B’C’D’ is a dilation of figure ABCD. Find the scale factor. Classify the dilation as an enlargement or a reduction. (1 point) Scale factor one-third; reduction Scale factor one-fourth; reduction Scale factor

1. ### Math I REALLY NEED HELP!!!!!!!!!

A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure? A/(2,2) B/(4,4)

2. ### math

The dimensions of a rectangle dining room are 18 feet by 16 feet.If a scale factor of 1/4 is used to make a scale model of the dining room,what is the area of the dining room in the scale model? A.18 square feet B.36 square feet