Question

You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing this design on a piece of paper that is 8one half in. by 11 in. What are the dimensions of the largest complete enlargement you can make?

Answer 1

8 1/2 in. by 10 5/8 in.

Explanation:

Answer 2

The dimensions are

`8(1)/(2)\ in`

`10(5)/(8)\ in`

Explanation:

we know that

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

step 1

Divide
`8(1)/(2)` by
`4`

`8(1)/(2)=(8*2+1)/(2)=(17)/(2)\ in`

so

`(17)/(2)/4=2.125`

step 2

Divide
`11` by
`5`

so

`(11)/(5)=2.2`

step 3

Find the largest complete enlargement

The scale factor is the smaller of the two previous values

so

The scale factor is
`2.125`

The dimensions are

`4*2.125=8.5=8(1)/(2)\ in`

`5*2.125=10.625=10(5)/(8)\ in`