Question

The longer side of a rectangular hall is 24 m and the length of its diagonal is 26 m. Find the area of the hall.

Answer 1

Given: Longer side = 24 m, diagonal = 26 m.

Step-wise calculation:

1. Let length = 24 m and breadth = x m.

Diagonal = 26 m.

2. By Pythagoras: x² + 24² = 26².

x² = 26² – 24²

= 676 – 576

= 100

⇒ x = 10 m

3. Area = Length × Breadth

= 24 × 10

= 240 m²

The area of the hall is 240 m².