20-09-2014
Mathematics

Answered

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

Verified Answer :

20-09-2014

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

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