Question

The diagonal of a rectangle is 15 cm and length is 12 cm. ∴ Its area is ______.

Options

• 180 cm²

• 144 cm²

• 108 cm²

• 90 cm²

Answer 1

The diagonal of a rectangle is 15 cm and length is 12 cm. ∴ Its area is 108 cm².

Explanation:

The diagonal of a rectangle is given as 15 cm and the length is 12 cm.

We need to find the area of the rectangle.

Step 1: Use the Pythagorean theorem to find the width (breadth) of the rectangle.

Let the width be (w) cm.

Diagonal d = 15 cm,

Length l = 12 cm, 

So, d² = l² + w²

15² = 12² + w²

225 = 144 + w²

w² = 225 – 144 = 81

w = `sqrt(81)`

w = 9 cm

Step 2: Calculate the area of the rectangle

Area = l × w

= 12 × 9

= 108 cm²