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The length of rectangle is 4 inches longer than its width. what are the possible widths if the area of the rectangle is less than 437?

Sagot :

Solution:

[tex]A_{rectangle}=LW\\\\A=(W+4)(W)\\\\437>W^2+4W\\\\0>W^2+4W-437\\\\0>(W-19)(W+23)\\\\0>W-19;0>W+23\\\\19>W;-23>W[/tex]

Therefore, the possible widths are within the interval (-23, 19) such that the area will be less than 437.

[correct me if I'm wrong]