Question

Given quad ABCD is similar to quad PQRS,then x is a. 13 units b. 12 units c. 6 units d. 15 units

Answer 1

Answer:

8:20=X:15,

=>X=6units.

Answer 2

$Given \: Quadrilateral ABCD \sim Quad \:PQRS$

$AB = 15 \: units , AD = 20 \: units$

$PQ = x \: units \: and \: PS = 8 \: units$

$\frac{PQ}{AB} = \frac{PS}{AD}$

$\blue{ ( Corresponding \: sides \: are }$

$\blue{ proportional \: in \: similar \: figures)}$

$\implies \frac{x}{15} = \frac{8}{20}$

$\implies x = \frac{8\times 15}{20}$

$\implies x = 6$

Therefore ,

$\red{ Value \: of \: x } \green { = 6\: units }$

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