Question

A farmer has a field in the shape of an isosceles trapezium whose perimeter is 215 m one of its non parallel sides is 50 m what is the sum of its parallel sides

Answer 1

Answer:

               sum of parallel sides = 115 m

Explanation:

• An isosceles Trapezium is a Quadrilateral.

• Its two non-parallel sides are equal in length.

Now given that

Perimeter of field in the shape of isosceles Trapezium = 215 m

Length of one of its non-parallel side= 50 m (Given)

Length of 2nd non-parallel side= 50 m (By property of Isosceles Trapezium)

Now

Perimeter = 215 m

(Sum of non-parallel sides) + (sum of parallel sides) = 215

( 50 + 50) + (sum of parallel sides) = 215

sum of parallel sides = 215 - 100

                          " sum of parallel sides = 115 m "

I hope it will help you.

Answer 2

Answer:

115 m

Step-by-step explanation:

Concept:

An isoceles trapezium is a trapezium in which two non-parallel sides are equal.

Let the sides of the trapezium be a,b,c,d

Given:

Its perimeter =215 m

one of the non parallel sides is 50m

since it is isoceles trapezium,

b=d=50

a+b+c+d=215

a+c+100=215

a+c=115

That is sum of the non parallel sides is 115m