Solve the system graphically.
-A rectangular plot has area 126 $$\mathrm { yd } ^ { 2 }$$ with a perimeter of 46 yd. What is the length of the longest side?
A) 13 yd
B) 16 yd
C) 14 yd
D) 12 yd

Question

Quizplus · Accepted Answer

The area of a rectangle is given by the formula $A = lw$, where $l$ is the length and $w$ is the width. The perimeter of a rectangle is given by $P = 2l + 2w$. Given $A = 126$ and $P = 46$, we can set up two equations: $lw = 126$ and $2l + 2w = 46$. Simplifying the perimeter equation gives $l + w = 23$. Solving these equations graphically or algebraically, we find that the dimensions that satisfy both conditions are $l = 14$ and $w = 9$, making the length of the longest side 14 yards.

Solve the System Graphically yd2\mathrm { yd } ^ { 2 }yd2

Solve the System Graphically $\mathrm { yd } ^ { 2 }$