The length of a rectangular field is 12 m and the length of its diagonal is 15 m. The area of the field is

Question

Philoid · Accepted Answer

Given:

Length = 12 m

Length of diagonal = 15 m

We know that,

Base² + Perpendicular² = Hypotenuse²

⇒ 12² + Perpendicular² = 15²

⇒ Perpendicular² = 15² – 12²

⇒ Perpendicular² = 225– 144

⇒ Perpendicular² = 81

⇒ Perpendicular² = 9

That is,

Breadth = 9 m

Now,

Area = Length × Breadth

= 12 m × 9 m

= 108 m²