Question

The semi perimeter of a rectangular shape garden is 36 m. The length of the garden is 4 m more than its breadth. Find the length and the breadth of the garden

Answer 1

Let the length and breadth of the garden be x m and y m respectively.

According to the first condition,

The semi perimeter of a rectangular shape garden is 36 m.

∴ x + y = 36    ......(i)

According to the second condition,

The length of the garden is 4 m more than its breadth.

∴ x = y + 4

∴ x – y = 4   ......(ii)

Adding equations (i) and (ii), we get

   x + y = 36 
+ x – y =   4  
  2x      = 40

∴ x = `40/2` = 20

Substituting x = 20 in equation (i), we get

20 + y = 36

∴ y = 36 – 20 = 16

∴ The length and breadth of the garden are 20 m and 16 m respectively.