Question

Can someone please help me with this?

Answer 1

Answer:

$x=14$

Step-by-step explanation:

Similar shapes have proportional corresponding sides. So,

$\dfrac{AB}{PQ}=\dfrac{BC}{QR}=\dfrac{CD}{RS}=\dfrac{DE}{ST}=\dfrac{EA}{TP}$

Substitute all lengths:

$\dfrac{4}{28}=\dfrac{3}{21}=\dfrac{5}{35}=\dfrac{3}{21}=\dfrac{2}{x}$

Therefore,

$\dfrac{2}{x}=\dfrac{1}{7}\\ \\x=14$