Question

The lenght of the parallel side of a trapezium are in the ratio 4:7. If the height of trapezium is 14 and it's area is 384 sq.m, find the lenght of it's parallel sides

Answer 1

1/2 × (4a+7a) × 14 =384 cm²,

11a×7=384,

then
a=384/77,

a=4.98 cm,

then
parallel sides will be (4×4.98=19.92 cm) and (7×4.98=34.86 cm)