Question

) The perimeter of an isosceles trapezium is 500 cm. What are the lengths of its other two sides if the parallel sides are of lengths 105 cm and 205 cm?

Answer 1

Step-by-step explanation:

Given:-

• Perimeter of Isoceles trapezium = 500 cm

• Length of parallel sides of trapezium = 105 cm and 205 cm

Since, the length of both non parallel sides of an Isoceles trapezium are equal, let the length of one of the non parallel side be x.

Now, according to the question:-

→ Perimeter of the trapezium = Sum of all its sides

→ 105 + 205 + x + x = 500

→ 310 + 2x = 500

→ 2x = 500 - 310

→ 2x = 190

→ x = 190/2

→ x = 95

Therefore, the length of the non parallel sides of the given trapezium is 95 cm and 95 cm.