A diagonal was drawn in the polygon, the length of which is 10 cm.This diagonal divided the polygon into two polygons

A diagonal was drawn in the polygon, the length of which is 10 cm.This diagonal divided the polygon into two polygons, the perimeters are 35 and 26 cm.Then the perimeter of the original polygon is …

Given:
d = 10 cm
P1 = 35 cm
P2 = 26 cm

To find:
P -?

1) The drawn diagonal is an integral part of both obtained polygons, and hence their perimeters;
2) Calculate the length of the sides of one of the resulting polygons without the diagonal:
l1 = P1 – d = 35 – 10 = 25 cm;
3) Calculate the length of the sides of the second resulting polygon without the diagonal:
l2 = P2 – d = 26 – 10 = 16 cm;
4) Calculate the perimeter of the original polygon:
P = l1 + l2 = 25 + 16 = 41 cm.

Answer: The perimeter of the original polygon is 41 cm.