Question

please answer first...​

Answer 1

One of the parallel sides of a trapezium is 10 cm and altitude of the trapezium is 5 cm. If it's area is 40 sq cm. Find the length of the other parallel side.

Step-by-step explanation:

Let the 2nd ll side be 'x'

Given, Area of trapezium = 40 cm²

⇒ 1/2 (sum of ll sides) × height = 40

⇒ 1/2 (10 + x) × 5 = 40

⇒ (10 + x) = (40 × 2)/5

⇒ 10 + x = 16

⇒ x = 16 - 10

⇒ x = 6

Length of the 2nd parallel side is 6 cm

Answer 2

Answer:

• 6 cm

Step-by-step explanation:

Given

• One parallel side of trapezium (a) = 10 cm
• Altitude/Height of the trapezium (h) = 5 cm
• Area of the trapezium = 40 cm² (A)

To find

• The other parallel side of trapezium (b)

Solution

Area of trapezium = a + b / 2 × h

• 10 + b / 2 × 5 = 40
• 10 + b = 40 × 2/5
• 10 + b = 80/5
• 10 + b = 16
• b = 16 - 10
• b = 6

Hence, the other parallel side of the trapezium is 6 cm.