Question

the area of a trapezium is 180cm^2 and its height is 9 cm. if one of the parallel sides in longer than other by 6 cm,find the two parallel sides

Answer 1

17 and 23 cm are two parallel sides

Answer 2

Area of the trapezium = 180 cm^2 .

Height = 9 cm

Let the shorter side = x

Now , Greater side = x+6 cm

Now ,

Area = 1/2×(sum of parallel sides)×altitude
1/2×(x+x+6)×9 = 180
1/2×(2x+6)×9=180
(2x+6)×9= 180 × 2
2x+6=180×2/9
2x+6=20×2
2x+6=40
2x=34
x=34/2
x=17 cm

Now , x+6 = 17+6
= 23 cm .