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For what value of x is the area of the rectangle greater than the perimeter? The base of the perimeter is x+2
The height is 7



Answer :

if we call the area A, then [tex]A=7(x+2)=7x+14[/tex]
if we call the perimeter P, then [tex]P=7*2+2(x+2)=2x+18[/tex]
[tex]A>P[/tex]
[tex]7x+14>2x+18[/tex]
subtracting 14 gives [tex]7x>2x+4[/tex]
subtracting 2x gives [tex]5x>4[/tex]
dividing by 5 gives [tex]x>\frac{4}{5}[/tex]
or [tex]x>0.8[/tex]

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