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

Question

Philoid · Accepted Answer

Given:

Length (l) = 24 m

Diagonal = 26 m

Let breadth be b

We know that,

Base² + Perpendicular² = Hypotenuse²

⇒ 24² + b² = 26²

⇒ b² = 26² - 24²

⇒ b² = 676 - 576 = 100

⇒ b= 10 m

Area of rectangle = Length × Breadth

= 24 m × 10 m

= 240 m²