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2 years ago

A rectangle is no more than six inches wide, and its perimeter measures 28 inches. At least how long is the rectangle?

1 answer:

6 0

Hello,

Assume w the wide and l the length of the rectangle.

w<6 (1)
2l+2w=28==>l+w=14==>w=14-l

(1)==> 14-l<6
==>14-6<l
==>l>8

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3 years ago

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$\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]$

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3 years ago