Given:
Area of a square frame = 81 square inches.
To find:
Perimeter of the frame.
Solution:
Let length of each side of the frame = a inches.
Area of square frame is
[tex]Area=a^2[/tex]
[tex]81=a^2[/tex]
Taking square root on both sides,
[tex]\pm\sqrt{81}=a[/tex]
[tex]\pm 9=a[/tex]
Side length cannot be negative. So, a=9 inches.
Perimeter of frame is
[tex]Perimeter=4a[/tex]
[tex]Perimeter=4(9)[/tex]
[tex]Perimeter=36[/tex]
Therefore, the perimeter is 36 inches.
