# algebra

posted by .

A triangle has an area of 20 inches squared. Every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180 inches squared. What is the scale factor.

• algebra -

if a rectangle (or any 2-dimensional figure) is scaled by a factor of n, then

length l becomes nl
width w becomes nw
area lw becomes (nl)(nw) = n^2(lw) = n^2 times the old area

For your rectangle, the new area is 9 times the old area, so the scale factor is √9 = 3

• algebra 1 -

a triangle has an area of 20 inches squared. every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180 inches squared. what was the scale factor?

• algebra -

9

## Similar Questions

1. ### Pre-Algebra

A triangle is enlarged by a scale factor of 10/3. a) If the perimeter of the copy is 36 meters, find the perimeter of the original triangle using the proportion 10/3. b) If the area of the copied triangle is 48 meters squared, use …
2. ### geometry

a rectangle has an area of 48 inches squared every dimention of the rectangle is multiplied by a scale factor and the new rectangle has an area of 12 inches squared what is the scale factor?
3. ### algebra

A triangle has side lengths of 5 inches, 12 inches, and 15 inches. Every dimension is multiplied by 1/5 to form a new triangle. How is the ratio of the perimeters related to the ratio of corresponding sides?
4. ### math Ms. Sue

A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle?
5. ### 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?
6. ### math

A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle?
7. ### Math

Triangle A has an area of 19,00cm squared and similar triangle B has an area of 118.75cm squared. Determine what scale factor makes triangle B an enlargement of triangle A
8. ### Algebra 1

a triangle has an area of 20 inches squared. every dimension of the triangle is multiplied by a scale factor, and the new triangle has an area of 180 inches squared. what was the scale factor?
9. ### MATH

1. The sides of a square are increased by a scale factor of 6. The perimeter of the smaller square is 10 ft. What is the perimeter of the larger square?
10. ### Algebra

A right triangle has an area of 24 ft^2 the demesions of the triangle are increased by a scale factor of 6 what is the area of the new triangle

More Similar Questions