Answer:
The dimensions of the largest enlargement are
[tex]8\frac{1}{2}\ in\\10\frac{1}{5}\ in[/tex]
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
[tex]8\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}\ in[/tex]
so
[tex]\frac{17}{2}/5=1.7[/tex]
step 2
Divide 11 by 6
so
[tex]\frac{11}{6}=1.83[/tex]
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
[tex]5(1.7)=8.5=8\frac{1}{2}\ in[/tex]
[tex]6(1.7)=10.2=10\frac{1}{5} \ in[/tex]
