SOLUTION: the organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet, if the length of the garden is 24 feet longer than the width what is the area of the gard

Algebra ->  Rectangles -> SOLUTION: the organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet, if the length of the garden is 24 feet longer than the width what is the area of the gard      Log On


   

Question 825656: the organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet, if the length of the garden is 24 feet longer than the width what is the area of the garden in square feet
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = length
y = width
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2x + 2y = 84
x = y + 24
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put the system of linear equations into standard form
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2x + 2y = 84
x - y = 24
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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 = 33 ft
y = width = 9 ft
area = xy
area = 33*9
area = 297 sq.ft
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system matrix
2 2
1 -1
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inverse of system matrix
0.25 0.5
0.25 -0.5
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determinant of system matrix = -4
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 4-equations 4-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php