Question

Reynaldo drew a rectangular design that was 6 in. wide and 8in. long. He used a copy machine to enlarge the design so that the width was 10 in. What was the length of the enlarged design???

Answer 1

`13(1)/(3)\ in`

Explanation:

we know that

The dilation is a non-rigid transformation that produces similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

step 1

Find the scale factor

Let

z ----> the scale factor

`z=(10)/(6)` ----> ratio of corresponding sides

simplify

`z=(5)/(3)`

step 2

Find the length of the enlarged design (L)

Multiply the length of the original design by the scale factor

so

`L=(5)/(3)(8)=(40)/(3)\ in`

Convert to mixed number

`(40)/(3)\ in=(39)/(3)+(1)/(3)=13(1)/(3)\ in`