Solve the problem.
-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 10 feet more than 2 times the width. He needs 68 feet of fencing to do the job. Find the length and width of the garden.
A) length: $26 \mathrm { ft }$; width: $8 \mathrm { ft }$
B) length: $24 \mathrm { ft }$; width: $7 \mathrm { ft }$
C) length: $48 \frac { 2 } { 3 } \mathrm { ft }$; width: $19 \frac { 1 } { 3 } \mathrm { ft }$
D) length: $28 \mathrm { ft }$; width: $9 \mathrm { ft }$

Question

Solve the problem.
-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 10 feet more than 2 times the width. He needs 68 feet of fencing to do the job. Find the length and width of the garden. 
A) length: $26 \mathrm { ft }$; width: $8 \mathrm { ft }$
B) length: $24 \mathrm { ft }$; width: $7 \mathrm { ft }$
C) length: $48 \frac { 2 } { 3 } \mathrm { ft }$; width: $19 \frac { 1 } { 3 } \mathrm { ft }$
D) length: $28 \mathrm { ft }$; width: $9 \mathrm { ft }$

Quizplus · Accepted Answer

The perimeter of the garden is 68 feet. Let the width be $w$ feet. Then the length is $10 + 2w$ feet. The perimeter formula is $2l + 2w = 68$, substituting the length gives $2(10 + 2w) + 2w = 68$. Solving this equation for $w$ gives $w = 8$ feet and the length $l = 26$ feet.

Solve the Problem 26ft26 \mathrm { ft }26ft ; Width 8ft8 \mathrm { ft }8ft

Solve the Problem $26 \mathrm { ft }$ ; Width $8 \mathrm { ft }$