If you cut away a triangle of area 59 cm² from a square, the remaining area will be 85 cm². Find the length of the side of the square before it was cut.
Accepted Solution
A:
so the square was fine, then the triangle decided to go for a hike.
now, if the triangle when it took off, it took 59 cm², and the square was left all by its lonesome with only 85 cm², that means with the triangle in it, the square is then 59 + 85 cm², or 144 cm².
[tex]\bf \textit{area of a square}\\\\
A=s^2\qquad
\begin{cases}
s=\textit{length of a side}\\
---------\\
A=144
\end{cases}\implies 144=s^2
\\\\\\
\sqrt{144}=s
\implies 12=s[/tex]