Question

You want to draw an enlargement of a design that is printed on a card that is 5 in. by 6 in. You will be drawing this design on an piece of paper that is 8.5 in. by 11 in. What are the dimensions of the largest complete enlargement you can make?

Answer 1

Answer:

The dimensions of the largest enlargement are

$8\frac{1}{2}\ in\\10\frac{1}{5}\ in$

Step-by-step 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 5

$8\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}\ in$

so

$\frac{17}{2}/5=1.7$

step 2

Divide 11 by 6

so

$\frac{11}{6}=1.83$

step 3

Find the largest complete enlargement

The scale factor is the smaller of the two previous values

so

The scale factor is 1.7

The dimensions are

$5(1.7)=8.5=8\frac{1}{2}\ in$

$6(1.7)=10.2=10\frac{1}{5} \ in$