Question

(a) A square has an area of 4ft2. What is the length of each side?ft=(b) A square has a perimeter of 144yd. What is the length of each side?yd=

Answer 1

`a)\:2ft\:\:\:\:\:b)\:36yd`

a) We need to remind ourselves that the area of a square is given by:

`A=a^2`

So now, let's plug into that formula the area that has been given, and solve for a:

`\begin{gathered} a^2=4 \\ \\ a=√(4) \\ \\ a=2\:ft \end{gathered}`

So, the length of each side is 2 ft

b) When we consider the perimeter, we can find the length of each side: in a quite straightforward way:

`\begin{gathered} P=a+a+a+a \\ \\ P=4a \\ \\ 144=4a \\ \\ (4a)/(4)=(144)/(4) \\ \\ a=36\:yd \end{gathered}`

And these are the answers