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• if the area of a square is 100cm ^2, what is the perimeter? • if the perimeter of a square is 116cm, what is it's area?

User Owyongsk
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1 Answer

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1) Given data:

Area of square = 100 cm square


A=a^2
\begin{gathered} a^2=100 \\ a=10\operatorname{cm} \end{gathered}

The perimeter of square is,


\begin{gathered} P=4a \\ P=4*10 \\ P=40\operatorname{cm} \end{gathered}

2) Given data:

Perimeter of square = 116 cm


P=4a
\begin{gathered} 4a=116 \\ a=29 \end{gathered}

The area os square is,


\begin{gathered} A=a^2 \\ A=29*29 \\ A=841\operatorname{cm}\text{ square} \end{gathered}

User Jaakko Karhu
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