Square flower beds

This task is about estimating the square root of an area.

Liam, Beth and Caleb each have a square flower-bed. The length of each side of the square flower-bed (x) is equal to the square root of the area of the flower-bed.

a)
Liam has a square flower-bed with an area of 25 m2. What is the length of each side of his flower-bed?
 
__________ m
  
b)
Beth has a square flower-bed with an area of 10 m2. The length of each side is somewhere between 3 and 4 metres.
Without using a calculator explain how you know the length is within this range.
 
 
 
 
 
 
 
c)
Caleb has a square flower-bed with an area of 40 m2.
 
 
i)
 
ii)
The length of each side is between ___________ and __________ metres.
 
Without using a calculator explain how you know the length is within this range.