Question

given polygon abcd is similar to polygon qrst if ad = 17 and qt = 12. the perimeter of polygon abcd is 51, what is the perimeter of polygon qrst?

Answer 1

polygons are similar so corresponding sides and perimeters are proportional.
\[\frac{ qt }{ ad }=\frac{ P }{ 51 }\]
perimeter of qrst P
\[=\frac{ 12 }{ 17}\times 51=36 ~units\]