An enlargement is a geometric transformation in which the size of a figure is increased by a factor larger than one
The lengths of the sides marked with ? are;
[tex]\overline{BC} = 3[/tex], [tex]\overline{CD} = 2[/tex], [tex]\overline{A_1B_1} = 2.4[/tex], and [tex]\overline{D_1E_1}= 3.2[/tex]
The ratio of the corresponding sides of pentagon ABCDE and A₁B₁C₁D₁E₁ is presented as follows;
[tex]\dfrac{\overline{A_1B_1}}{\overline{AB}} = \dfrac{\overline{B_1C_1}}{\overline{BC}} = \dfrac{\overline{C_1D_1}}{\overline{CD}} = \dfrac{\overline{D_1E_1}}{\overline{DE}} = \dfrac{\overline{E_1A_1}}{\overline{EA}} = \dfrac{4}{2.5} = 1.6[/tex]
Therefore;
[tex]\dfrac{4.8}{\overline{BC}} = 1.6[/tex]
[tex]\overline{BC} = \dfrac{4.8}{1.6} = 3[/tex]
[tex]\dfrac{3.2}{\overline{CD}} = \dfrac{4}{2.5} = 1.6[/tex]
[tex]\overline{CD} = \dfrac{3.2}{1.6} =2[/tex]
[tex]\dfrac{\overline{A_1B_1}}{1.5} = 1.6[/tex]
[tex]\overline{A_1B_1} = 1.6 \times 1.5 = 2.4[/tex]
[tex]\dfrac{\overline{D_1E_1}}{\overline{2}} = 1.6[/tex]
[tex]\overline{D_1E_1}= 1.6 \times 2 = 3.2[/tex]
Learn more about enlargement here:
https://brainly.com/question/16838059
