Question

The perimeter of a rectangle is 40 cm and it's breadth is 4 cm less than the length. Compute the length and breadth?

Answer 1

Given,

=>The perimeter of a rectangle is 40 cm;
=> and breadth of the same rectangle is 4 cm less than the length

To find,
Length and breadth of this rectangle

Main solution :

Let the length of the rectangle x metre.

So, according to question the breadth of the rectangle will be = x - 4 cm

We know,

Perimeter of a rectangle = 2 ( length + breadth )

Substituting the values,

2 ( x + x - 4 ) = 40 cm

2 ( 2x - 4 ) = 40 cm

4x - 8 = 40 cm

4x = 48 cm

x = 12 cm



Length of this rectangle = x = 12 cm

Breadth of the same rectangle = x - 4 = 12 - 4 = 8 cm