Use a Graphing Calculator to Solve the Nonlinear System $126 \mathrm { yd } ^ { 2 }$

Multiple Choice

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-A rectangular plot has area $126 \mathrm { yd } ^ { 2 }$ with a perimeter of $46 \mathrm { yd }$ . What is the length of the longest side?

A) $16 \mathrm { yd }$
B) $13 \mathrm { yd }$
C) $14 \mathrm { yd }$
D) $12 \mathrm { yd }$