i dont get it at all!!

Question

Find the approximate side length of each square figure to the nearest whole unit.

1.) a tabletop with an area 25ft²

2.) a wall that is 105 m²

Answer 1

Hi Vicky,

 

To start, the formula to find the area of a square is:

 

      height x width = area

 

... because all the sides of square are the same length, the height and width will be the same and the formula can be modified to:

 

     s² = area  

 

where "s" is equal to "sides"

 

Now, based on your problems above, this is how they would be solved. 

---- We will start with 1.) area of 25 ft²

 

                           s² = 25

 

... to solve for "s" we will need to do the opposite of squaring (which is on the "s") and take the square root of both sides...that leaves us with:

 

                          s = √25  (solved on the calculator or via a square root chart)

 

... which then give us:

 

                         s = 5   (5 is the square root of 25)

 

.... so the answer is that the approximate length of a table with an area of 25 ft² is 5 ft

 

 

---- Now for 2.) wall that is 105 m² we do the same thing

 

                        s2 = 105

 

                         s  = √105  (solved on the calculator or via a square root chart)

 

                         s = 10.25

 

.... so the answer is that the approximate length of a wall with an area of 105 m² is 10 ft

 

            *(10.24 was rounded up as the question asked for the answer to be in whole numbers)

 

Hope this helps!