Question

area of trapezium having altitude 3 cm is 12 CM square if one of the parallel side is 3 cm then find the length of other parallel side

Answer 1

Answer:

5 cm

Step-by-step explanation:

Given, Altitude = 3 cm.

Area = 12 cm².

Parallel Side x₁ = 3 cm.

We know that Area of trapezium = (1/2) * (Sum of parallel sides) * Height

⇒ 12 = (1/2) * (x₁ + x₂) * 3

⇒ 12 * 2 = (3 + x₂) * 3

⇒ 24 = 9 + 3x₂

⇒ 15 = 3x₂

⇒ x₂ = 5.

Therefore, Length of other parallel side = 5 cm.

Hope it helps!

Answer 2

Answer:

x=5

Step-by-step explanation:

Area = (1/2) * (sum of paralle sides) * altitude

12 = (1/2) * (3 + x) * 3

24 = 9 + 3x

15 = 3x

x = 5.