Rectangle N has an area of 5 square units. James drew a scaled version of Rectangle N and labeled it Rectangle P. What scale factor did James use to go from Rectangle N to Rectangle P? (rectangle p's area is 45)

The scale factor James used to go from Rectangle N to Rectangle P is 3 or 3:1

Step-by-step explanation:

Given that Rectangle N has an area of 5 square units. That is An = 5

Rectangle P has an area of 45 square units. That is Ap = 45

 The scale factor James used to go from Rectangle N to Rectangle P will be in the form

An/Ap = N^2/P^2

Where N and P are the factors

(N/P)^2 = 5/45

N/P = sqrt root (1/9)

N/P = 1/3

Cross multiply

P = 3N

The scale factor James used to go from Rectangle N to Rectangle P is therefore equal to 3 or 3:1

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

i believe the answer is c.