Question

the area of a Trapezium shaped field is 480 m square the distance between the two parallel sides is 15 M and one of the parallel sides is 20 m find the other parallel side

Answer 1

let other parallel side be y.
ar(trapezium) = 1/2x(sum of parallel sides) x height
480 = 1/2x(20 + y) x 15
960 = 300 + 15y
15y = 960 - 300
15y = 660
y = 660/15
y = 44m.
hope it will help you.

Answer 2

$\huge\tt{Required\:Answer:}$

One of the parallel sides of the trapezium is a = 20 m, let another parallel side be b, h = 18 m.

The given area of trapezium = 480 m².

$= > Area \: of \: trapezium = \frac{1}{2} \: h \: (a + b) \\ = > 480 = \frac{1}{2} \times 15 \times (20 + b) \: \: \: \: \: \: \: \: \: \: \: or \\ = > \frac{480 \times 2}{15} = 20 + b \: \: \: \: \: \: \: \: \: \: \: or \\ = > 64 = 20 + b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \\ = > b = 44 \: m$

Hence, the other parallel side of the trapezium = 44 m.