Answered

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A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.

Sagot :

okpalawalter8

Answer:

 [tex]l=238\ yards[/tex]

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 [tex]l=9w-14[/tex]

Where

[tex]w=width\ of\ triangle[/tex]

Generally the equation for Area of Rectangle is mathematically given by

 [tex]A=(9w-14)w[/tex]

 [tex]A=9w^2-14w[/tex]

 [tex]6183=9w^2-14w[/tex]

 [tex]9w^2-14w-6183=0[/tex]

 [tex]w=28[/tex]

Therefore

 [tex]l=9(28)-14[/tex]

 [tex]l=238\ yards[/tex]

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