Question

Jenna has a rectangular pig pen that measures 8m wide by 10m long. She wants toincrease the area to 168 m^2 by increasing the length and width by the sameamount. What would you enter into desmos to represent the equation?

Answer 1

`\begin{gathered} a\cdot b=\text{area} \\ a=10+x \\ b=8+x \\ \text{area}=\text{ (10+x)(8+x) by multiplying the factor } \\ \text{area = 80+10x+8x+x\textasciicircum{}2 } \\ \text{area}=168 \\ 168\text{ = 80+18x+x\textasciicircum{}2} \\ x^2+18x+80-168\text{ } \end{gathered}`