Question

Somebody please help me

Answer 1

Answer:

A). Scale factor = $\frac{1}{4}$

B). Length of the unknown side = 2.75 feet

Step-by-step explanation:

Part A

Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,

Scale factor = $\frac{\text{Side length of the image}}{\text{Side length of the preimage}}$

                    = $\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}$

                    = $\frac{4}{16}$

                    = $\frac{1}{4}$

Part B

Scale factor = $\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}$

$\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}$

Therefore, side length of the unknown side = $\frac{11}{4}$ = 2.75 feet