Find the coordinates of the vertices of polygon H´J´K´L´ after polygon HJKL is dilated using the given scale factor. H(–1, –6), J(1, –3), K(–5, –1), and L(5, –5); scale factor 3

Step-by-step explanation:

Given:

H(–1, –6), J(1, –3), K(–5, –1), and L(5, –5)

We know that polygons are HJKL relaxes using the scale factor 3. This means that, to find the coordinates of the vertices of the polygon H'J'K'L ', we need to multiply the coordinate system x and y coordinates of each vertex by a factor of 3  proportion as following:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6