Question

c) The lengths of the parallel sides of a trapezium are in the ratio 3:2 and the

distance between them is 10cm. If the area of the trapezium is 325 cm2, find

the length of the parallel sides.

Answer 1

HERE'S YOUR ANSWER.....✌️✌️

1/2×(sum of parallel sides)× h = area of trapezium

let the no. of the ratio be 3x and 2x,

1/2×(2x+3x)×10= 325

=>x=13

the first side,

=2x

=2×13

=26

the other side,

= 3x

=3×13

=39

Answer 2

Let the parallel sides be 3x and 2x.
We know that area of trapezium= 1/2 × height × sum of parallel sides
Now putting given values
325 = 1/2 ×10 × (3x + 2x)
325 = 5× 5x
325 ÷ 25 = x
13 = x
The length of sides are;-
3x =75cm
2x = 50cm