Question

The area of a trapezium is 60cm2 . the distance between its parallel sides is 6cm. If one of the parallel sides is 8cm, then the other parallel side is? MCQ type questions.

Answer 1

Answer:

Given :-

• Area of trapezium = 60 cm²
• Distance between parallel line = 6 cm
• One of the parallel side = 8 cm

To Find :-

Other Parallel side

Solution :-

As we know that

$\bf \: Area = \frac{1}{2} \times (p_1 + p_2) \times h$

Let the other parallel line be x

$\implies \sf \: 60 = \dfrac{1}{2} \times (8 + x) \times 6$

$\implies \sf \: 60 = 1 \times (8 + x) \times 3$

$\implies \sf \: 60 = 3(8 + x)$

$\sf \implies \: \dfrac{60}{3} = 8 + x$

$\sf \implies \: 20 = 8 + x$

$\sf \implies \: 20- 8 = x$

$\sf \implies \: 12 = x$

Hence :-

Measure of other parallel line is 12 cm.

Learn More :-

Volume of cuboid = Length × Breadth × Height