Question

Half the perimeter of a rectangular garden whose breadth is 4 m less than its length of 36 m. Find the length and breadth of the garden.

Answer 1

Given:

• Breadth is 4 m less than the length
• Let length (L = x) meters
• Then breadth (B = x – 4) meters
• Half the perimeter is 36 meters not the length

Step-wise calculation:

1. The perimeter (P) of the rectangle = 2(L + B)

2. Half the perimeter = (L + B = 36) meters

3. Using the relation (B = L – 4),

L + (L – 4) = 36 

2L – 4 = 36

2L = 40

L = 20 meters

4. Then, B = L – 4 

B = 20 – 4

B = 16 meters

Length of the garden = 20 m.

Breadth of the garden = 16 m.