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a rectangle has an area of 30 square meter and a perimeter of 34 meters. what are the dimensions of rectangle?

Sagot :

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[tex]A=lw[/tex]
[tex]P=2l+2w[/tex]

[tex]30=lw[/tex]
[tex]34=2l+2w[/tex]

[tex]30=lw [/tex] --> [tex] w= \frac{30}{l} [/tex]

[tex]34=2l+2( \frac{30}{l}) \\ 34=2l+ \frac{60}{l} \\ 34l=2l^2+60 \\ 2l^2-34l+60=0 \\ 2(l-2)(l-15)=0 \\ l=2, 15[/tex]

[tex]30=(2)w[/tex]
[tex]15=w[/tex]

[tex]30=(15)w[/tex]
[tex]2=w[/tex]

The dimensions can either be 15 x 2 or 2 x 15.
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