Area of the square figure is equal to the square of one of its sides. The difference in the length of the two tiles is 0.4 meters.
The area of the square figure is equal to the square of one of its sides.
[tex]\text{Area of Square Tile} = (\text{Length of one Side})^2[/tex]
We know that the area of a square is the square of one of its lengths, therefore, the length of each of the square tiles can be written as,
[tex]\text{Area of Square Tile} = (\text{Length of one Side})^2[/tex]
Length of the Tile A
[tex]\text{(Area of Square Tile A)} = (\text{Length of Tile A})^2\\\\ (\text{Length of Tile A})^2 = \sqrt{\text{(Area of Square Tile A)}}\\\\ (\text{Length of Tile A})^2 = \sqrt{20}\\\\ (\text{Length of Tile A}) = 4.4721\approx 4.5[/tex]
Length of Tile B
[tex]\text{(Area of Square Tile B)}= (\text{Length of Tile B})^2_2\\\\ (\text{Length of Tile B})^2 = \sqrt{\text{(Area of Square Tile B)}}\\\\ (\text{Length of Tile B})^2= \sqrt{24}\\\\ (\text{Length of Tile B}) = 4.8989\approx 4.9[/tex]
Thus, the difference between the length of the two tiles can be written as,
[tex]\rm Difference = (\text{Length of Tile B}) - (\text{Length of Tile A})[/tex]
[tex]= 4.9-4.5\\\\= 0.4[/tex]
Hence, the difference in the length of the two tiles is 0.4 meters.
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