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May someone please help me with this complex math ahhh! I have to find the length and the width of the garden etc.

May someone please help me with this complex math ahhh! I have to find the length-example-1

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1 vote

Answer:

L = 10.037

W = 2.291

LW = 23..........Equation 1

L = 7W - 6.......Equation 2

*Substitute the value of L to the first equation to solve for W


LW=23
(7W-6)W=23
7W^2-6W=23
7W^2-6W-23=0

Through quadratic formula, we can get:


W=\frac{-(-6)\pm\sqrt[]{(-6)^2-4(7)(-23)}}{2(7)}
W=\frac{6\pm2\sqrt[]{170}}{14}
W=\frac{3\pm\sqrt[]{170}}{7}
W=2.291,\text{ }W=-1.434

*Since we cannot have a negative value for the dimensions, we will consider 2.291.

Going back to the second equation, substitute the value of W to solve for L.


L=7W-6
L=7(2.291)-6
L=10.037

The length of the garden should be 10.037 feet, and the width should be 2.291 feet.

User Damiano Miazzi
by
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