Question

2. The area of a trapezium is 34 cm 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 1

Answer :-

Area of trapezium = 1/2 h(b1+b2)

34 = 1/2 (4)(10+b2)

34×2 = 4(10+b2)

68/4 = 10+b2

17 - 10 = b2

b2 = 7 cm

Length of other parallel side is 7 cm.

WMK

Answer 2

Question :-

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 sides.

Given :-

• Area of trapezium = 34cm

• Length of one parallel side = 10cm

• Height = 4cm

To find :-

• Length of other parallel sides ?¿

formula used:-

$= \: \: \: \: \: \: \: \: \: \: \: \dfrac{1}{2} \times (a + b) \times h$

Solution :-

$⇒\: \: \: \: \: \: 34 = \: \dfrac{1}{2} \times (10 + b) \times 4$

$⇒\: \: \: \: \: \: 34 = \: (10 + b) \times 2$

$⇒\: \: \: \: \: \: 17 = 10 + b$

$⇒\: \: \: \: \: \: b = 17 – 10$

$= 7 cm$

Hence, the required length = 7 cm.