Question

The lengths of the parallel sides of a trapezium are 19cm and 13 cm and its area is 128 sq.cm. The distance between the parallel sides is

a) 9 cm
b) 7 cm
c) 8cm
d) 12.5 cm

Please give the answer fast.

Answer 1

Answer :

• The distance between the parallel side is 8cm
• Option (c)

Given :

• The length of the parallel sides of a trapezium are 19cm and 13cm
• Area of trapezium is 128cm²

To find :

• The distance between the parallel sides is

Solution :

• Let the height be x

Given that , Area of trapezium is 128cm² so,

Now we have to use the formula of trapezium

As we know that,

• Area of trapezium = 1/2 × (sum of parallel side) × height

where , Area of trapezium is 128 , sum of parallel sides is 19cm and 13cm , and height is x

Now ,

⇢ Area of trapezium = 1/2 × (sum of parallel side) × height

⇢ 128 = 1/2 × (19 + 13) × x

⇢ 128 = 1/2 × 32 × x

⇢ 128 = 16x

⇢ 16x = 128

⇢ x = 128/6

⇢ x = 8 cm

Hence , The distance between the parallel side is 8cm

More Explanation :

• Trapezium is a 2D shape
• iscoscles trapezium,scalene trapezium and right trapezium are types of trapezium
• Trapezium has 4 vertices
• Trapezium has 4 edges

Answer 2

fjfidjmxididdjnxnxjdiirjdncifidncjcif8rjfmcmkf9d