Question discussion

The area of a trapezium is 18 sq.cm. Its height and base are 3 cm and 5 cm respectively. Find the length of the side parallel to the base.

215775Medium 1 reply 683 views
1
The area of a trapezium is 18 sq.cm. Its height and base are 3 cm and 5 cm respectively. Find the length of the side parallel to the base.
  • A4 cm
  • B6 cm
  • C8 cm
  • D7 cm
Answer not set

Discussion 1

0
CCommunity
We know that area of trapezium = 1/2 × height × (a + b)

Where, a = length of the side parallel to the base

b = base

⇒ 18 sq.cm = 1/2 × 3 × (a + 5)

⇒ 36 = 3a + 15

⇒ 21 = 3a

⇒ a = 21/3 = 7 cm

∴ Length of the side parallel to the base is 7 cm