Question

In the picture, rectangle R is divided into some smaller rectangles as shown. Is R a scaled copy of C? If so, what is the scale factor?

Answer 1

Scale factor = 36

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 =
`\frac{\text{Measure of R}}{\text{Measure of C}}` [Scale factor for rectangle R from C]

=
`(36C)/(C)`

= 36

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