Answer:
[tex] x = 3.6 [/tex]
Step-by-step explanation:
Since Quadrilateral ABCD ~ PQRS, therefore:
[tex] \frac{AB}{PQ} = \frac{BC}{QR} = \frac{CD}{RS} = \frac{DA}{SP} [/tex]
Let's find the value of x by using the ratio of two corresponding sides of both quadrilaterals. Let's use:
[tex] \frac{CD}{RS} = \frac{DA}{SP} [/tex]
CD = 5
RS = 4.5
DA = 4
SP = x
[tex] \frac{5}{4.5} = \frac{4}{x} [/tex]
Cross multiply
[tex] 5*x = 4.5*4 [/tex]
[tex] 5x = 18 [/tex]
Divide both sides by 5
[tex] x = \frac{18}{5} [/tex]
[tex] x = 3.6 [/tex]
