One side of a rectangle is 12 cm long and its diagonal measures 37 cm. Find the other side and the area of the rectangle.

Question

Philoid · Accepted Answer

Given: Breadth (b) = 12 cm

Diagonal = 37 cm

Let length be l cm

We know that,

Base² + Perpendicular² = Hypotenuse²

⇒ l² + 12² = 37²

⇒ l² = 37²-12²

⇒ l² = 1369 cm² – 144 cm²

⇒ l² = 1225 cm²

⇒ l = 35 cm

Now,

Area of rectangle = Length × Breadth

= 35 cm × 12 cm

= 420 cm²