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The base of a rectangle is one more then three times the height.  The area is 14 sq. in.  What is the base?

May 18th, 2015

A = base* height

base = 3h + 1

(3h+1)(h) = 14

3h^2+h=14

b=12

h=2


The only number that makes this true is 2. 2*2=4*3=12+2=14 :)

May 18th, 2015

Thank you so much.

May 18th, 2015

Thank you so much.

May 18th, 2015

No problem! By the by, the factoring works as follows:

3h^2+h-14=0

(3h+7)(h-2)=0

h=2

h=-7/3

The second solution is clearly impossible, so only the first works :)

May 18th, 2015

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May 18th, 2015
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