Question

The perimeter of a rectangle is 60 cm. If the length of the rectangle is 4 times the
breadth of the rectangle, find the area of the rectangle.
​

Answer 1

Given :-

• The Perimeter of a Rectangle is 60cm.
• The length of the rectangle is 4 times the breadth of the rectangle.

To Find :-

• Area of the Rectangle

Solution :-

Let the Breadth be x cm

Then, the length will be 4x cm

According to the Question :-

➞ Perimeter of the Rectangle = 2( l + b )

➞ 60 = 2( 4x + x )

➞ 60 = 8x + 2x

➞ 60 = 10x

➞ 60 ÷ 10 = x

➞ 6 = x

________________

Therefore :-

• Length = 4x = 4 × 6 = 24cm
• Breadth = x = 6cm

________________

➞ Area of the Rectangle = Length × Breadth

➞ Area of the Rectangle = 24 × 6

➞ Area of the Rectangle = 144cm²

So, Area of Rectangle is 144cm²

________________

★ Additional Info :

Formulas Related to Rectangle :

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

________________

Answer 2

Question ::-

The perimeter of a rectangle is 60 cm. If the length of the rectangle is 4 times the breadth of the rectangle, find the area of the rectangle.

Given ::-

• Perimeter of rectangle = 60 cm

• Length = 4 times of its breadth.

To find ::-

• Find the area of rectangle ?

Solution ::-

• Perimeter of rectangle = 60 cm

• Length of rectangle = 4 times of its breadth

= 4 × B

= 4B

• Breadth of rectangle = B

_________

$➠$ Perimeter of rectangle = 2 (length + breadth)

$➠$ 60 = 2 ( 4b + b )

$➠$ 60 = 2 ( 5b )

$➠$ 60/2 = 5b

$➠$ 30 = 5b

$➠$ 30/5 = b

• 6cm = breadth

• 4b = 4 × 6 = 24 cm

__________

$➠$ Area of rectangle = length × breadth

$➠$ Area = 24 × 6

$➠$ Area = 144 ${cm}^{2}$

Thus , area of rectangle is 144 ${cm}^{2}$