Question

The length of a parallel side of a trapezium are in the ratio 4:7.if the haight of trapezium is 14 m and its area is 385sq.m,find the length of its parallel side

Answer 1

Answer:

a = 20 m

b = 35 m

Step-by-step explanation:

Let side 'a' be 4 x

Let side 'b' be 7 x

h = 14 m

area = 385 sq. m

Area of a trapezium = 1/2*h*(a+b)

Substitute the values,

385 = 1/2*14(4 x + 7 x)

385 = 7*(11 x)

385 = 77 x

x = 385/77

x = 5

Now,

a = 4 x = 4(5) = 20 m

b = 7 x = 7(5) = 35 m