Question

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

Answer 1

One side of the rectangle = 12 cm.

Diagonal of the rectangle = 37 cm

The diagonal of a rectangle forms the hypotenuse of a right-angled triangle. The other two

sides of the triangle are the length and the breadth of the rectangle.

Now, using Pythagoras’ theorem, we have:

Thus, we have:

Length = 35 cm

Breadth = 12 cm

Area of the rectangle = 35 x 12 = 420 cm²