Question

the area of a Trapezium is 180 cm square and height is 90 cm if one of the parallel sides is longer than the other by 6 cm find the two parallel sides

Answer 1

let the shorter parallel side be x and longer side be x + 6

Area of trapezium = 1/2 × (parallel side 1+ 2) × height
1/2 ( x+x+6) × 90 = 180
2x+6×45 = 180
2x+6 = 180/45
2× = 4+6
x = 10/2
x = 5
Shorter parallel side = 5cm
Longer parallel side = 5+6
= 11cm