SOLUTION: A rectangles length is 4 less than triple it's width. If the perimeter of the rectangle is 40, find the area of the rectangle.

Algebra.Com
Question 828692: A rectangles length is 4 less than triple it's width. If the perimeter of the rectangle is 40, find the area of the rectangle.
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
---
x = 3y - 4
2x + 2y = 40
---
put the system of linear equations into standard form:
---
x - 3y = -4
2x + 2y = 40
---
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 = 14
y = 6
area = xy = 14*6 = 84 sq.units
---
system matrix
1 -3
2 2
---
inverse of system matrix
0.25 0.375
-0.25 0.125
---
determinant of system matrix = 8
---
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 perimeter of a rectangle is 24cm. if the length is triple the width, find the area of (answered by macston)
The length of a rectangle of 4 cm less than triple it’s width. The perimeter of the... (answered by greenestamps,MathLover1)
The length of a rectangle is 4m longer than it’s width. If the perimeter of the rectangle (answered by MathLover1,Alan3354)
The length of a rectangles is 4cm longer than the width. If the perimeter of the... (answered by checkley77)
The length of a rectangle is 7cm less than twice the width. Find the perimeter of the... (answered by josgarithmetic,ikleyn)
A rectangles length is 5 times less than 4 times the width. The area of rectangle is 21cm (answered by Alan3354)
The length of a rectangle is 4 less than 3 times the width. If the perimeter is 40, find... (answered by awang1996)
the length of a rectangle is 4 centimeters less than triple the width and the area is 32... (answered by flame8855)
The length of a rectangle is 4 less than 3 times the width. If the perimeter is 40, find... (answered by ankor@dixie-net.com)