The breadth of a rectangular hall is 5/8 of its length. If the area of the…

To find the difference between the length and breadth of the rectangular hall, we can follow these steps:

Step-by-Step Calculation
Define the dimensions:
Let the length of the hall be L.
According to the problem, the breadth (B) is 5/8 of its length.
So, B = (5/8)L

Use the area formula:
Area of a rectangle = Length × Breadth
160 = L × (5/8)L
160 = (5/8)L²

Solve for L:
L² = 160 × (8/5)
L² = 32 × 8
L² = 256
L = 16 metres

Find the breadth (B):
B = (5/8) × 16
B = 10 metres

Calculate the difference:
Difference = L - B = 16 - 10 = 6 metres