Answer:
The dimensions are
[tex]8\frac{1}{2}\ in[/tex]
[tex]10\frac{5}{8}\ 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 [tex]8\frac{1}{2}[/tex] by [tex]4[/tex]
[tex]8\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}\ in[/tex]
so
[tex]\frac{17}{2}/4=2.125[/tex]
step 2
Divide [tex]11[/tex] by [tex]5[/tex]
so
[tex]\frac{11}{5}=2.2[/tex]
step 3
Find the largest complete enlargement
The scale factor is the smaller of the two previous values
so
The scale factor is [tex]2.125[/tex]
The dimensions are
[tex]4*2.125=8.5=8\frac{1}{2}\ in[/tex]
[tex]5*2.125=10.625=10\frac{5}{8}\ in[/tex]
