Answer:
A = 1 square unit
Step-by-step explanation:
Given:
To find A, substitute the value of s into the equation for A and solve:
[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]
[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]
[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]
[tex]\sf \implies A=\dfrac{16}{16}[/tex]
[tex]\sf \implies A=1[/tex]
Therefore, A = 1 square unit
[tex]\\ \rm\rightarrowtail A=16s^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]
[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]
[tex]\\ \rm\rightarrowtail A=1units^2[/tex]