Question

A triangle has a base of 20 feet and a height of 17 feet. If a dilation with a scale factor of k=3 is applied, what is the new area?

a. 170ft²
b. 340ft²
c. 765ft²
d. 1,530ft²

Answer 1

To find the new area of a triangle after a dilation with a scale factor of k=3, multiply the original area by the square of the scale factor.

Step-by-step explanation:

To find the new area of a triangle after a dilation with a scale factor of k=3, we need to multiply the original area by the square of the scale factor. The original area of the triangle can be found using the formula A = 1/2 x base x height. Plugging in the values, A = 1/2 x 20 x 17 = 170. Then, we multiply the original area by the square of the scale factor (3^2 = 9) to find the new area: 170 x 9 = 1,530.