Question

the area of a Trapezium is 504 CM square. its parallel side at 12 cm and 16 cm long. find the distance between parallel sides.The answer must be 36 cm..​

Answer 1

Answer:

36cm

Explanation:

In a trapezium,

• Area is 504 cm²
• It's parallel sides are 12cm and 16cm.

Find the distance between the parallel sides.

We know that,

→ Area of a trapezium = ½(a + b)h

Where,

• (a + b) denotes the sum of the parallel sides i.e., (12 + 16)cm
• h denotes the distance between the parallel sides.

According to the question,

→ 504 = ½(12 + 16)h

→ 504 = ½(28)h

→ 504 = 14h

→ 504/14 = h

→ 36 = h

∴ h = 36cm

_____________________

Formula used :—

→ Area of a trapezium = ½(a + b)h

Where,

• (a + b) denotes the sum of the parallel sides.
• h denotes the distance between the parallel sides.

Answer 2

Answer:

36 cm

Step-by-step explanation:

Given :-

Area of trapezium = 504 cm²

Parallel sides = 12 cm & 16 cm

To Find :-

Distance between them.

Solution :-

We know that

Area = (a + b)/2 × h

=> 504 = (12 + 16)/2 × h

=> 504 = 28/2 × h

=> 504 = 14h

=> 504/14 = h

=> 36 = h

Hence,

The distance between the parallel side is 36 cm