Question

The polygons are similar. Find the value of x and y.

Answer 1

x = 9, y = 27

Explanation:

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

`(x-1)/(6)` =
`(16)/(12)` ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

`(y+1)/(21)` =
`(16)/(12)` ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27