Question

Figure this out please Asap.

Answer 1

If the polygons are similar then the sides are in proportion.

`(32)/(24)=(32:8)/(24:8)=(4)/(3)`

Therefore we have the equations:

`(x-1)/(6)=(4)/(3)\qquad\text{cross multiply}\\\\3(x-1)=(4)(6)\\\\3x-3=24\qquad\text{add 3 to both sides}\\\\3x=27\qquad\text{divide both sides by 3}\\\\\boxed{x=9}`

`(y+1)/(21)=(4)/(3)\qquad\text{cross multiply}\\\\3(y+1)=(21)(4)\\\\3y+3=84\qquad\text{subtract 3 from both sides}\\\\3y=81\qquad\text{divide both sides by 3}\\\\\boxed{y=27}`