Question

the areaof trapezium is 126cm and it's altitude is6cm . find the sum of parallel side​

Answer 1

Answer :

• Sum of parallel sides is 42cm

Given :

• The area of trapezium is 126cm
• Altitude is 6cm

To find :

• Sum of parallel side

Solution :

As we know that,

• A = a+b/2 × h

where, a + b is sum of parallel sides , A is area of trapezium 126cm and h is height of altitude 6cm

From the Question :

》A = a+b/2 × h

》126 = a+b/2 × 6

》126 = a+b × 3

》a + b = 126/3

》a + b = 42

》a + b = 42cm

Hence, Sum of parallel sides is 42cm

Answer 2

Given :

• Area of Trapezium = 126cm
• Height of Trapezium = 6cm

To Find :

• Sum of Parallel Sides

Solution :

✰ As we know that, Area of Trapezium is given by ½ × height × (sum of parallel sides) .So we will put the given values in the formula to find the sum of Parallel Sides of the Trapezium.

⠀

⠀⠀⠀⟼ ⠀⠀Area = ½ × H × (S1 + S2)

⠀⠀⠀⟼ ⠀⠀126 = ½ × 6 × (S1 + S2)

⠀⠀⠀⟼ ⠀⠀126 × 2 = 6 × (S1 + S2)

⠀⠀⠀⟼ ⠀⠀252 = 6 × (S1 + S2)

⠀⠀⠀⟼ ⠀⠀252/6 = (S1 + S2)

⠀⠀⠀⟼ ⠀⠀42cm = (S1 + S2)

⠀⠀

Thus sum of parallel sides of the Trapezium is 42cm

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