Respuesta :
Since the area of the square is express as :
[tex]\text{ Area of Square = Side}^2[/tex]Mrs. Norman want the meausrement of the side of the cookies in the whole number :
(A) 300
Subtitute the value of the 300 in the expression of area
[tex]\begin{gathered} \text{ Area of Square = Side}^2 \\ \text{Side}^2=Area\text{ of Square cookies} \\ \text{Side}^2=300 \\ \text{Side}=\sqrt[]{300} \\ \text{Side }=17.32 \\ \text{Which is not a whole number} \end{gathered}[/tex](B) 400
[tex]\begin{gathered} \text{ Area of Square = Side}^2 \\ \text{Side}^2=Area\text{ of Square cookies} \\ \text{Side}^2=400 \\ \text{Side}=\sqrt[]{400} \\ \text{Side }=20\text{ } \\ \text{Which is a whole number} \end{gathered}[/tex]
So, the possible area coud be 400 milimeter square
(C) 64
[tex]\begin{gathered} \text{ Area of Square = Side}^2 \\ \text{Side}^2=Area\text{ of Square cookies} \\ \text{Side}^2=64 \\ \text{Side}=\sqrt[]{64} \\ \text{Side }=8\text{ } \\ \text{Which is a whole number} \end{gathered}[/tex]So, the possible area could be 64 milimeter square
(D). 80
[tex]\begin{gathered} \text{ Area of Square = Side}^2 \\ \text{Side}^2=Area\text{ of Square cookies} \\ \text{Side}^2=80 \\ \text{Side}=\sqrt[]{80} \\ \text{Side }=8.94 \\ \text{Which is not a whole number} \end{gathered}[/tex]
SO, the possible area could not be 80 milimeter square
(E) 255
[tex]\begin{gathered} \text{ Area of Square = Side}^2 \\ \text{Side}^2=Area\text{ of Square cookies} \\ \text{Side}^2=255 \\ \text{Side}=\sqrt[]{255} \\ \text{Side }=15.9 \\ \text{Which is a not a whole number} \end{gathered}[/tex]
So, the possible area could not be 255 milimeter square
(F). 1
[tex]\begin{gathered} \text{ Area of Square = Side}^2 \\ \text{Side}^2=Area\text{ of Square cookies} \\ \text{Side}^2=1 \\ \text{Side}=\sqrt[]{1} \\ \text{Side }=1 \\ \text{Which is a whole number} \end{gathered}[/tex]
So, the possible area could be 1 milimeter square
Answer :
Possible area for the square cookies area :
B) 400
C) 64
F) 1
