Question

Find the perpendicular distance between two parallel lines of a trapezium whose parallel sides are 30cm and 24cm and area is 405cm²

Answer 1

i hope you help. ....

Answer 2

The perpendicular distance between two parallel lines of a trapezium are 15 cm

Step-by-step explanation:

Length of parallel sides are 30cm and 24cm

Let the height be h

Area of trap.=$\frac{1}{2}(\text{Sum of parallel sides}) \times height$

Area of trap.=$\frac{1}{2}(30+24)\times Height$

We are given that area is 405cm²

So, $\frac{1}{2}(30+24) \times Height = 405$

$Height = \frac{405 \times 2}{30+24}$

Height =15

Hence the perpendicular distance between two parallel lines of a trapezium are 15 cm

#Learn more:

Find the area of a trapezium whose parallel sides are 24cm and 20cm and the distance between them is 15cm

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