1.

The area and height of the trapezium are 34 cm2 and 4 cm. One of its parallel side is 10 cm. Find the length of other parallel side.

Answer»

Let b cm. be the required length of parallel side.

Area of trapezium

= 1/2 x (Sum of parallel sides) x height

⇒ 34 = 1/2 x (10 + b) x 4

⇒ 34 x 2 = (10 + b) x 4

⇒ 68 = (10 + b) x 4

⇒ 10 + b = 68/4

⇒ 10 + b = 17

⇒ b = 17 – 10

⇒ b = 7

Hence, the length of another parallel side is 7 cm.



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