Question

if parallel side of trapezium are 40cm and 50cm.if its area is 135 sq.cm what is its height​

Answer 1

Step-by-step explanation:

area = 1/2×h×(sum of parallel side)

135sq.cm= 1/2× h(40+50)

135sq.cm=1/2×h×90

135sq.cm= 45h

135/45= h

3cm= h

Answer 2

Given :-

• Shape = Trapezium
• First Parallel Side = 40cm
• Second Parallel Side = 50cm
• Area of Trapezium = 134cm²

To Find :-

• Height of the Trapezium

Solution :-

⇒ Area = ½ × Height × Sum of Parallel Sides

⇒ 135 = ½ × Height × ( 40 + 50 )

⇒ 135 = ½ × Height × 90

⇒ 135 × 2 = Height × 90

⇒ 270 = Height × 90

⇒ 270 ÷ 90 = Height

⇒ 3cm = Height

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Verification :-

⇒ Area = ½ × Height × Sum of Parallel Sides

⇒ 135 = ½ × 3 × ( 40 + 50 )

⇒ 135 = ½ × 3 × 90

⇒ 135 = 3 × 45

⇒ 135 = 135

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Therefore, Height of the Trapezium is 3cm

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