Question

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.

Answer 1

Let ABCD be the rectangle in which AB

Let length of rectangle = 12 cm and diagonal= 37 m

Let breadth be the other side.

By Pythagoras theorem,

(Breadth)² = √((37)² – (12)²)

= √(49 x 25)

= √(1225)

or breadth = 35 cm

Thus, length = 12 cm and breadth = 35 cm

Area of rectangle = (12 × 35) = 420

Hence, the other side is 35 cm and the area of rectangle is 420 cm².