Question

A construction company wants to build an auditorium on a trapezium shaped plot measuring 410m2. One of the parallel sides of the trapezium plot measure 18m and the distance between the two parallel sides measure 20m. Find the other parallel side.

Answer 1

other parallel side is 23m

Explanation:

Let's assume other parallel sides as 'x'

One of the parallel sides of the trapezium plot measure 18m

so, y=18

distance between the two parallel sides measure 20m

so, h=20

now, we can use area of trapezium formula

`A=(1)/(2)* h * (x+y)`

now, we can plug values

`A=(1)/(2)* 20 * (x+18)`

we can set A=410

and then we can solve for x

`410=(1)/(2)* 20 * (x+18)`

`10\left(x+18\right)=410`

`x+18=41`

`x=23`