AllyzonS45700 AllyzonS45700
  • 25-10-2022
  • Mathematics
contestada

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

Find the perimeter of LMNPQ if the perimeter of ABCDE 252 cm and ABCDE LMNPQ class=

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NeftalyK574220 NeftalyK574220
  • 25-10-2022

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

Then:

[tex]\frac{SIDE\text{ PQ}}{\text{SIDE DE}}=\frac{25}{15}=\frac{5}{3}=\text{ 1,666}[/tex]

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

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