Question

the length of a rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 50 cm then what is the area​

Answer 1

Answer :

Area of Rectangle = 150 cm²


Step - By - Step Explanation :

It is given that length of a rectangle is 5 cm more than its breadth.

Perimeter of Rectangle = 50

Now, Let to be Breadth of Rectangle = x

So, Length of Rectangle = ( x + 5 )


Here, Perimeter of Rectangle = 2 ( L + B )

Perimeter of Rectangle = 2 ( x + 5 + x )

Perimeter of Rectangle = 2 ( 2x + 5 )

Perimeter of Rectangle = 4x + 10

50 = 4x + 10

50 - 10 = 4x

•°• 4x = 40

°•° x = 40/4 => 10

Here, We have obtained , Length of Rectangle and Breadth of Rectangle are 15 and 10 respectively!

Now, According to the Question's Statement!

Area of Rectangle = Length × Breadth

Area of Rectangle = 15 × 10 cm²

Area of Rectangle = 150 cm²

Answer 2

Given :

Perimeter of Rectangle = 50

Let to be Breadth of Rectangle = x

Length of Rectangle = x + 5


Here, Perimeter of Rectangle = 2 ( L + B )

= 2 ( x + 5 + x )

= 2 ( 2x + 5 )

{ Perimeter of Rectangle = 4x + 10 }

50 = 4x + 10

50 - 10 = 4x



x = 40/4 10





Area of Rectangle = Length × Breadth



Area of Rectangle = 150 cm²