Question

the lengths of two parallel sides of a trapezium are 54 cm and 42 cm. Find the area of the trapezium if the perpendicular distance between them is 16 cm.​

Answer 1

Answer:

The length of the parallel sides of a trapezium are in the rat: 3 : 2 and the distance between them is 10 cm. If the area of trapezium is 325 cm², find the length of the parallel sides.

Solution:

Let the common ration be x,

Then the two parallel sides are 3x, 2x

Distance between them = 10 cm

Area of trapezium = 325 cm²

Area of trapezium = 1/2 (p₁ + p₂) h

325 = 1/2 (3x + 2x) 10

⇒ 325 = 5x × 5

⇒ 325 = 25x

⇒ x = 325/25

Therefore, 3x = 3 × 13 = 39 and 2x = 2 × 13 = 26

Therefore, the length of parallel sides area are 26 cm and 39 cm.

Step-by-step explanation:

use this method

hope you will get the solution

this is an example

Answer 2

Step-by-step explanation:

area of trapezium = 1/2×height×(length+breadth)

1/2×16×(54+42)

1/2×16×96

=768cm²