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If the area of a rectangle is 864 sq ft and the width is 2/3 it's length,what is the length?

Sagot :

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length = [tex]l[/tex]
width = w = [tex]\frac{2}{3}\cdotl[/tex]

[tex]l\cdot\frac{2}{3}l = 864[/tex]

[tex]\frac{2}{3}l^2 = 864[/tex]

[tex]l^2 = 864\cdot\frac{3}{2}[/tex]

[tex]l^2 = 1296[/tex]

[tex]\boxed{l=36}[/tex]

[tex]w=\frac{2}{3}\cdot36[/tex]

[tex]\boxed{w=24}[/tex]
[tex] \frac{2}{3}x*x= \frac{2}{3} x^{2} [/tex]

[tex] \frac{2}{3} x^{2} =864 [/tex]

[tex] x^{2} = 1296[/tex]

[tex]x=36[/tex]

[tex] \frac{2}{3}(36)=24 [/tex]

[tex]Length=36[/tex]
[tex]Width=24[/tex]
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