Question

the area of the trapezium is 1512 CM square if the ratio of The parallel sides is 9 ratio5 andthe distance between them is 24 cm find the length of the parallel sides

Answer 1

let the parallel sides be x
then


1/2 (9x+5x)×24=1512
14x=1512/12
14x=126
x=126/14
x=9
now parallel sides
= 9x=81
5x=45

hope it helps you

Answer 2

Let parallel sides are 9X and 5X.


Distance between two parallel sides = 24 cm.



Area of trapezium = 1512



1/2 × ( Sum of parallel sides ) × ( Distance between them ) = 1512



1/2 × ( 9X + 5X ) × 24 = 1512



14X = ( 1512 × 2 ) / 24



14X = 126


X = 9 cm.




Parallel sides are 9X and 5X = 9 × 9 and 5 × 9 = 81 cm and 45 cm.