Question

A person wishes to make a 100 sq m rectangular garden. Since he has only 30 m barbed wire for fencing, he fences only three sides letting the house wall act as the fourth side The width of the garden is

• A. 10m
• B. 5m
• C. 50m
• D. 100m

Answer 1

Answer: (B)

5m

Answer 2

The correct option is (B): 5m
Given that: Garden's Area= $100\space m^2$
let length=L and width= B
⇒ $L\times B=100\space m^2$
from Option A: $B=10$(It will become square)
Option C: $B=50\space L=2$(Since he only fences three sides, either 2L + B = 30 or L + 2B = 30. However, neither of these equations meets the required condition.
Option D: $B=100 \space cm$ (cannot be alone with 100)
So the correct answer is option B. Width of garden =5 m