Question

The sum of the parallel sides of trapezium is 126 and altitude is 6 cm . find the area of the trapezium​

Answer 1

Answer:

Step-by-step explanation: area of trapezium is =1/2 × sum of parallel sides ×altitude. since the area is given =126.1

Answer 2

$\bigstar$ Correct Question :

$\rightarrow$ The area of trapezium is 126 cm² and altitude is 6 cm . find the sum of parallel sides​.

$\bigstar$ To Find :

$\rightarrow$ Sum of parallel sides = ?

$\bigstar$ Given :

$\rightarrow$ Area of trapezium = 126 cm²

$\rightarrow$ Height of altitude = 6 cm

$\bigstar$ Required Formula :

$\rightarrow$ Area of trapezium = $\mathtt{\frac{1}{2}}$ × (a+b) + h

$\bigstar$ Solution :

Let us consider that,

• (a+b) be x.

• h = Height of altitude

$\implies$ 126 = $\mathtt{\frac{1}{2}}$ × x × 6

$\implies$ 126 = x × 3

$\implies$ x = $\mathtt{\frac{126}{3}}$

$\implies$ x = 42

Thus, a + b = 42

• So, a = 21 cm and b = 21 cm

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