Question

Suraj spent rs 28500 in mowing his lawn which is in the shape of trapezium. The rate of mowing is Rs38 per sq.m. The parallel sides are 24m and 36m. What is the distance between the parallel sides?

Answer 1

Solution:

Total money spent for mowing lawn = Rs. 28500

Rate of mowing per square metre = Rs. 38

We will calculate what is Area of trapezium by the cost required to mow lawn and rate of mowing per square metre.

Area of trapezium  = Total money spent/Rate of mowing per square metre

                               = 28500/38

                               = 750 sq. m

$Area \ of \ trapezium = \frac{1}{2} * (sum \ of \ parallel \ sides) * (distance \ between \ parallel \ sides)$

$750 = \frac{1}{2} * (24 + 36) * (distance \ between \ parallel \ sides)$

$Distance \ between \ parallel \ sides = \frac{750*2}{60}$

$Distance \ between \ parallel \ sides = \frac{75}{3} = 25 \ metre$

The distance between parallel sides is 25 metres.