a) 35%
b) 29%
c) 21%
d) 17%
correct answer is: c) 21%
Explanation
Here, the square field KaTeX parse error: KaTeX doesn't work in quirks mode. side length is KaTeX parse error: KaTeX doesn't work in quirks mode. m
We know,
Area of a square field = (side × side)
KaTeX parse error: KaTeX doesn't work in quirks mode. Area of the square field is KaTeX parse error: KaTeX doesn't work in quirks mode. sq.m
KaTeX parse error: KaTeX doesn't work in quirks mode. sq.m
Now, if a KaTeX parse error: KaTeX doesn't work in quirks mode. m wide path is laid around the square field, then the new square field’s side length is KaTeX parse error: KaTeX doesn't work in quirks mode. m [increase both side]
KaTeX parse error: KaTeX doesn't work in quirks mode. m
KaTeX parse error: KaTeX doesn't work in quirks mode. New area of the square field with the path is KaTeX parse error: KaTeX doesn't work in quirks mode. sq.m
KaTeX parse error: KaTeX doesn't work in quirks mode. sq.m
KaTeX parse error: KaTeX doesn't work in quirks mode. Difference between new and old area is KaTeX parse error: KaTeX doesn't work in quirks mode. sq.m
KaTeX parse error: KaTeX doesn't work in quirks mode. sq.m
KaTeX parse error: KaTeX doesn't work in quirks mode. Percentage increase KaTeX parse error: KaTeX doesn't work in quirks mode. [base 10000]
KaTeX parse error: KaTeX doesn't work in quirks mode.
Ans: Percentage increase in the square field is 21%.
Another method to articulate this particular query is available:
1. Determine the percentage increase in the total area of a square field with side length 100m when a 5m wide path is constructed around it.
2. What is the percentage growth in the area of a square field of 100m side length when a 5m wide path is introduced around it?
3. Calculate the percentage increase in the square field’s area when a 5m wide path is added around it, given that its side length is 100m.
4. Calculate the percentage increase in the area of a square field with a side length of 100m when a 5m wide path is laid around it.
5.Find out the percentage change in the area of a square field measuring 100m on each side after a 5m wide path is added around it.