Question

Area of a trapezium is 1050 cm2. One of its parallel sides is 50 cm and the distance between the parallel sides is 30 cm. Find the length of the other parallel side (in cm).​

Answer 1

Answer:

Given, Distance between the parallel sides= 5cm

One of the parallel sides= 28cm

Area of a trapezium =105cm

2

Let the other side be x cm

Area =

2

1

×sum of parallel sides×distance between them

⇒105cm

2

=

2

1

×(x+28)×5

⇒x+28=

5

105×2

=42

⇒x=42−28cm=14 cm

Step-by-step explanation:

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Answer 2

Answer: Area of trapezium = 1/2 × Sum of the two parallel sides × Perpendicular distance (Height)

Let the length of the other parallel side of the given trapezium be x cm

⇒ 850 = 1/2 × (64 + x) × 17

⇒ 850 × 2 = 17 × (64 + x)

⇒ 1700 = 1088 + 17x

⇒ 17x = 1700 - 1088

⇒ 17x = 612

⇒ x = 612/17

⇒ x = 36

Hence, the length of the parallel side is 36 cm