Question

The length of the parallel sides of a trapezium are in the ratio 3:5 and the distance between them is 10cm. If the area of trapezium is 120cm2? Please send an picture or give an explanation not the answer directly.

Answer 1

$\sf{\huge{\underline{\red{Given :-}}}}$

• The ratio of length of the parallel sides of a trapezium is 3:5.

• The distance between them is 10cm.

• The area of trapezium is 120cm².

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The length of the parallel sides of a trapezium .

$\sf{\huge{\underline{\blue{Solution :-}}}}$

Let the parallel sides of a trapezium be in form of x.

So, 3x & 5x

We have,The area of trapezium is 120cm².

We know,

Area of trapezium = ½ × (sum of || sides ) × h

So we get,

➝ Area of trapezium = ½ × (3x + 5x) × 10

➝ 120 = ½ × 8x × 10

➝ 120 = 5 × 8x

➝ 8x = 24

➝ x = 24 / 8

➝ x = 3

Therefore, parallel sides are :-

• 3x = 3 × 3 = 9 cm

• 5x = 5 × 3 = 15 cm

______________________________________