A rectangle has an area of #17.6# #m^2#. lf the width is #2.3# meters shorter than the length, what are the dimensions of the rectangle?

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Answer 1 · 2015-11-15T01:30:45

#L = 5.5 m#
#W = 3.2 m#

#A = LW#

Let #L# be the length of rectangle
#=> W = L - 2.3#

#A = L(L - 2.3)#

#=> 17.6 = L^2 - 2.3L#

#=> 176 = 10L^2 - 23L#

#=> 10L^2 - 23L - 176 = 0#

Solving for the roots, we should get

#=> (L - 5.5)(L + 3.2)#

#=> L = 5.5, L = -3.2#

But since we're dealing with measurements, the length should be positive.

#=> L = 5.5#

#=> W = 5.5 - 2.3#

#=> W = 3.2#