Question

the length of a rectangle is 16 cm and the length of its diagonal is 20 cm . the area of the rectangle is

Answer 1

The area of the rectangle is 192sq.cm

Answer 2

Given:-

• Diagonal of a rectangle = 20 cm
• Length of the rectangle = 16 cm

To find:-

• Find the area of the rectangle ?

Solutions:-

• The length of the rectangle is 16cm.
• The diagonal of the rectangle is 20cm.

Pythagoras theorem

Hypotenuse² = base² + Perpendicular²

• Hypotenuse = 20 cm
• Base = 'b' cm
• Perpendicular = 16 cm

=> (20)² = b² + 16

=> 400 = b² + 256

=> 400 - 256 = b²

=> 144 = b²

=> √144 = b

=> 12 = b

=> b = 12cm.

• The base of the rectangle is 12 cm.

We know that,

The area of rectangle = length × breadth

• Length = 16 cm
• Breadth = 12 cm

According to question:-

=> 16 × 12

=> 192cm²

Hence, the area of rectangle is 192 cm².

Some Important:-

• A = l × b
• P = 2(l + b)

Where,

• A = Area of rectangle
• P = Perimeter of rectangle
• l = Length of the rectangle
• b = Breadth of rectangle