Respuesta :

Answer:

A = 1 square unit

Step-by-step explanation:

Given:

  • [tex]\sf s=\dfrac14[/tex]
  • [tex]\sf A=16s^2[/tex]

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]

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