SOLUTION: The perimeter of a rectangle is 98 feet. The ratio of its length to its width s 5:2. Find the area. How do you do this problem!?!?

Question 827376: The perimeter of a rectangle is 98 feet. The ratio of its length to its width s 5:2. Find the area. How do you do this problem!?!?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = length
y = width
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2x + 2y = 98
x/y = 5/2
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put the system of linear equations into standard form:
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2x + 2y = 98
x = (5/2)y
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2x + 2y = 98
x - 2.5y = 0
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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
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solution:
x = length = 35 ft
y = width = 14 ft
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system matrix
2 2
1 -2.5
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inverse of system matrix
0.35714286 0.28571429
0.14285714 -0.28571429
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determinant of system matrix = -7
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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
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