The length of a rectangle is nine units longer than the width of the rectangle and the area of the rectangle is 112 square units. Find the number of units in the perimeter of the rectangle?

1 Answer
NJ
Feb 27, 2018

#46# units

Explanation:

Let the width of the rectangle be #w#. Then the length is #w+9#. The area #A = 112# sq. units.

Therefore:
#w(w+9) = 112#
#w^2+9w - 112 = 0#
#(w+16)(w-7) = 0#
So #w=-16# or #w=7#. Since the width cannot be negative, we take #w=7# units.

The perimeter is simply:
#P = w + w + (w+9) + (w+9)#
#P = 7+7+16+16 = 46# units

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