Question

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)

Answer 1

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

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