Respuesta :

Answer:

Scale factor = 36

Step-by-step explanation:

R is a biggest rectangle and C is the smallest rectangle in the picture

attached.

Rectangle R = 4 × [Rectangle B]

                    = 4 × [9 × rectangle C] {since rectangle B is formed by joining 9 rectangles of C}

                    = 36 × rectangle C

This shows that R is a scaled copy of C.

Since, scale factor = [tex]\frac{\text{Measure of R}}{\text{Measure of C}}[/tex] [Scale factor for rectangle R from C]

                               = [tex]\frac{36C}{C}[/tex]

                               = 36

Therefore, scale factor by which C is enlarged to form R is 36.