Q. 24.4( 193 Votes )

# The area of a trapezium is 34 cm^{2} and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Answer :

Area of Trapezium = 1/2 × (Sum of Length of Parallel Side) × Distance Between Them

∴ Area of trapezium = 1/2 × (a + b) × h = 34 cm^{2}

Here, a = 10cm, h = 4cm, b = length of another parallel Side

∴ 1/2 × (10 + b) × 4 = 34

(10 + b) × 2 = 34

20 + 2b = 34

2b = 34 - 20

2b = 14

b = 7 cm

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