Solve Problems Using Systems of Linear Equations
-Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 11 feet more than 5 times the width. He needs 70 feet of fencing to do the job. Find the length and width of the garden.
A) length: 31 feet; width: 4 feet
B) length: $60 \frac { 1 } { 6 }$ feet; width: $9 \frac { 5 } { 6 }$ feet
C) length: 36 feet; width: 5 feet
D) length: 26 feet; width: 3 feet

Question

Quizplus · Accepted Answer

The problem can be solved by setting up a system of equations. Let $L$ be the length and $W$ be the width. The first equation comes from the relationship between length and width: $L = 5W + 11$. The second equation comes from the perimeter needed for fencing, which is $2L + 2W = 70$. Substituting the first equation into the second gives a system that can be solved to find $W = 4$ and $L = 31$.

Solve Problems Using Systems of Linear Equations -Jarod Is Having 601660 \frac { 1 } { 6 }6061​

Solve Problems Using Systems of Linear Equations
-Jarod Is Having $60 \frac { 1 } { 6 }$