Question

the length of a parallel sides of a Trapezium are in the ratio 7 ratio 5 and the distance between them is 14 cm if the area of a Trapezium is 252 CM square find the length of its parallel side

Answer 1

Let the two parallel sides be 2k and 5k
Distance between them = Height of trapezium = 14cm
Given area = 252 cm^2
Area of trapezium= (1/2) x height x (Sum of parallel sides)
252= (1/2) x 14 x (2k + 5k)
252=(1/2)×14×7k
k= 5.14
Thus, the parallel sides are 10.28 cm and 25.71cm respectively.