Given:
The area of a square picture frame is 55 square inches.
To find:
The length of one side of the frame.
Solution:
Let the length of one side of the frame is x inches.
Area of square is
[tex]Area=a^2[/tex]
where a is side length.
Area of frame is
[tex]Area=x^2[/tex]
[tex]55=x^2[/tex]
Taking square root on both sides.
[tex]\sqrt{55}=x[/tex]
[tex]x=7.4161985[/tex]
[tex]x\approx 7[/tex]
[tex]49<55<64[/tex], so [tex]7<\sqrt{55}<8[/tex]. Since 55 is closer to 49, therefore, [tex]\sqrt{55}[/tex] is closer to 7.
Therefore, the length of one side of the frame is 7 inches.
