Question

# The difference between two parallel sides of a trapezium is 8cm. The perpendicular distance between them is 19cm while the area of trapezium is 760 sq.cm. What will be the lengths of the parallel sides.

Hint:

### Given , the difference between parallel sides ; we find the sum of lengths of

the parallel side from the area of trapezium formula by substituting the given values.

Now ,equate both the equations to get the values of lengths of parallel sides.

## The correct answer is: 30.5 and 49.5

### Ans :- 30.5 cm ; 49.5 cm

Explanation :-

Let the length of parallel side be x and y where (x<y)

Step 1:- frame the equation based on given conditions

Difference between parallel side = y-x = 8 —- Eq1

Given area of trapezium = 760 sq.cm

Perpendicular distance or height = 19 cm .

—- Eq2

Step 2:- eliminate x to find y

Adding Eq1 + Eq2 to eliminate x

Step 3:- Find x by substituting the value of y in Eq 2 .

Therefore, 30.5 cm and 49.5 cm are the lengths of the parallel sides of trapezium.

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