Question

• 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?

Answer 1

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,

$\begin{gathered} P=4a \\ P=4\times10 \\ P=40\operatorname{cm} \end{gathered}$

2) Given data:

Perimeter of square = 116 cm

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

The area os square is,

$\begin{gathered} A=a^2 \\ A=29\times29 \\ A=841\operatorname{cm}\text{ square} \end{gathered}$