Given:
The area of a square garden = 100 sq. ft
To find:
The perimeter of the garden.
Solution:
Let the side of the square garden be a.
Area of a square = [tex]a^2[/tex]
So, [tex]a^2=100[/tex].
Taking square root on both sides.
[tex]a=\pm \sqrt{100}[/tex]
[tex]a=\pm 10[/tex]
Length of side cannot be negative. So, a=10. It means, side length of the garden is 10 ft.
Perimeter of square = 4a.
Perimeter of square garden is
[tex]4(10)=40[/tex]
Therefore, the perimeter of the square garden is 40 ft.
