Question

1. The ratio of the lengths of the parallel sides of a
trapezium is 3:2. The shortest distance between
them is 15 cm. If the area of the trapezium is 450
cm?, find the length of the parallel sides.
​

Answer 1

Answer:

The length of the two parallel sides of a trapezium is 36 cm and 24 cm

Step-by-step explanation:

Given :-

Ratio of parallel sides = 3:2

or, 3x , 2x

Shortest distance between them ( height ) =

15 cm

Area of trapezium = 450 cm²

We know that ,

Area of trapezium =

½ × ( sum of parallel sides ) × height

450 cm² =½ ( 3x + 2x ) × 15

450 cm² = ½× 5x × 15

450 cm² × 2 = 75x

900 cm² = 75x

so, x = 900 cm²

75 cm

x = 12 cm

Now , length of parallel sides =

3x , 2x

3x = 3 × 12cm = 36 cm

2x = 2 × 12cm = 24 cm

Hence , the length of two parallel sides of a trapezium is 36 cm and 24 cm

Hope you understood

thank you