Given:
a) Area = 121 ft²
b) Area = 81 yd²
To find:
The side length of each square
Solution:
a) Area = 121 ft²
Area of the square = s²
⇒ s² = 121
Taking square root on both sides.
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 121}[/tex]
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 11^2}[/tex]
Square root and squares get canceled.
⇒ s = 11
The length of each side of the square is 11 ft.
b) Area = 81 yd²
Area of the square = s²
⇒ s² = 81
Taking square root on both sides.
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 81}[/tex]
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 9^2}[/tex]
Square root and squares get canceled.
⇒ s = 9
The length of each side of the square is 9 yd.
