Question

The area of the ground in the shape of a trapezium is 2041 m². The perpendicular distance between the parallel sides is 26 m. If the ratio of the parallel side is 10.3 : 5.4. find the difference between the parallel sides.
1. 154 m
2. 49 m
3. 53 m
4. 45 m

Answer 1

Correct Answer - Option 2 : 49 m

Given:

The area of the ground = 2041 m²

The perpendicular distance between the parallel sides = 26 m

Formula used:

Area of trapezium = 1/2 × (a + b) × h

a & b are parallel sides of the trapezium 

h = perpendicular distance between the parallel sides 

Calculation:

let the length of the parallel sides be 10.3x, 5.4x respectively

substituting the values in the formula 

2041 = 1/2 × ( 10.3x + 5.4x) × 26

157 = (15.7x)

⇒ x = 10 

length of parallel sides

a = 10.3 × 10 = 103 m

b = 5.4 × 10 = 54 m 

Difference between the parallel sides = a - b

a - b = 103 - 54 = 49 m

∴The difference between the parallel sides is 49 m