Question

Quadrilaterals ABCD and PQRS shown below are two similar figures.Find the values of x and y.​

Answer 1

Answer:

x = 12, y = 16

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{AD}{PS}$ = $\frac{DC}{SR}$ , substitute values

$\frac{20}{2x+6}$ = $\frac{18}{27}$ ( cross- multiply )

18(2x + 6) = 540 ( divide both sides by 18 )

2x + 6 = 30 ( subtract 6 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

-------------------------------------------

and

$\frac{AB}{PQ}$ = $\frac{DC}{SR}$ , substitute values

$\frac{y}{24}$ = $\frac{18}{27}$ ( cross- multiply )

27y = 432 ( divide both sides by 27 )

y = 16