Question

A square picture frame occupies an area of 112 ft2. What is the length of each side of the picture in simplified radical form? Show your work.

Answer 1

a square has equal lengths on all sides

to get the area of a square you multiply the length and width
A=LW

A=area
L=length
W=width

therefore since L and W are the same value, you have the same value multiplied by itself
L=W
A=LL=L^2
or
A=WW=W^2

so since
\[A=L^{2}\]
or
\[A=W^{2}\]

you know the area to be 112

so
\[112=L^{2}\]

or

\[112=W^{2}\]

square root 112 to get your answer