SOLUTION: The length of a rectangle is 3 larger than the width. The perimeter is 54 inches. Find the dimensions.

Question 828163: The length of a rectangle is 3 larger than the width. The perimeter is 54 inches. Find the dimensions.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
x = length
y = width
---
x = y + 3
2x + 2y = 54
---
put the system of linear equations into standard form:
---
x - y = 3
2x + 2y = 54
---
copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = length = 15 in.
y = width = 12 in.
---
system matrix
1 -1
2 2
---
inverse of system matrix
0.5 0.25
-0.5 0.25
---
determinant of system matrix = 4
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
The length of a rectangle is 3 inches less than twice the width. The perimeter of the (answered by tutor_paul)

The length of a rectangle is 9 inches more than thr width. The perimeter is 54 inches.... (answered by rfer,MathLover1)

the perimeter of a rectangle is 54 m. The width is 3 m less than twice the length. Find... (answered by JBarnum)

The length of a rectangle is 3 feet less than twice its width. If the perimeter is 54... (answered by waynest)

the length of a rectangle is 3 less than than twice its width the perimeter of the... (answered by stanbon)

The perimeter of a rectangle is 42 inches. The length is 3 inches less than twice the... (answered by solver91311)

the perimeter of a rectangle is 88 inches. if the length of the rectangle is 8 inches... (answered by algebrahouse.com)

The perimeter of a rectangle is 54 inches. Find the length of the rectangle if the width... (answered by rm29924)

The perimeter of a rectangle is 54 inches. Find the length of the rectangle if the width (answered by madman1101)