Question

Q The area of a trapezium is 793 cm² and the distance between the parallel sides is 26cm if one of the parallel sides is 42cm find the other ​

Answer 1

Answer:

let other parallel side be. x

Area of trapezium = 1/2×(sum of parallel sides) × h

793 cm² = 1/2 × (42 + X ) × 26

793 cm² = (42 + X) × 13

61 cm = 42 + X

X = 61 - 42

X = 19 cm Ans

Here is your answer.

Answer 2

Given :

• The area of a trapezium = 793 cm²
• Distance between the parallel sides = 26 cm
• Length of one of the parallel sides = 42 cm

To find :

The length of the other parallel side.

Solution :

Length of the other parallel side is 19 cm.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will be using the mathematical formula for calculating the area of a trapezium, which is -

Area of trapezium = ½ × (sum of lengths of two parallel sides) × height

In this case,

Height = Distance between two parallel sides = 26 cm

Length of one parallel side = 42 cm

Let, length of other parallel side = x cm

So, sum of two parallel sides = (42+x) cm

Given area of trapezium = 793 cm³

By putting all the given and derived values, in the above mentioned mathematical formula of calculating the area of a trapezium, we get -

793 = ½ × (42+x) × 26

793 = (42+x) × 13

793 = 546+13x

13x = 793-546

13x = 247

x = 247/13

x = 19cm

Hence, the length of the other parallel side is 19cm.