Question

the area of trapezium 300m² the perpendicular distance between the two parallel side is 15 M if the difference of parallel sides is16 m, find the length of parallel sides

Answer 1

let the sum of parallel sides be (x+y).
1/2×(x+y)×h=area of the trapezium.
1/2×(x+y)×15m=300m²
x+y=(300m²×2)/15
x+y=40m

now, x+y=40m
x-y=16m
=>x=16+y
by substituting, we get,
=>16+y+y=40
16+2y=40
2y=40-16
2y=24
y=24/2
y=12m
x+y=40m
x+12m=40m
x=(40-12)m
x=28m
therefore, the length of the parallel sides are 12m and 28 m.

Answer 2

the answer to this question is 28 meter and 12 meter.