Question

Find the perimeter of LMNPQ if the perimeter of ABCDE = 25.2 cm and ABCDE = LMNPQ

Answer 1

If two polygons are similar with the lengths of corresponding sides, we need to find the ratio between both figures:

Then:

`\frac{SIDE\text{ PQ}}{\text{SIDE DE}}=(25)/(15)=(5)/(3)=\text{ 1,666}`

So, the ratio is 5:3

The perimeter of LMNPQ is the same to say :

P of ABCDE = 25.2cm

Use the ratio

P of LMNPQ = 25.2 (5/3) cm

Then P = 42 cm