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.

Question 1Change answer

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

Question 1Change answer

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.

Question 1Change answer

c)  Caleb has a square flower-bed with an area of 40 m2.
i)  The length of each side is between  and  metres.
ii) Without using a calculator explain how you know the length is within this range.