Question 151320
Let x=width and y=length


Since the "length of a rectangle is 3 in. more than the width", this means that {{{y=x+3}}}. Also, because the "perimeter of the rectangle is 24 in", this tells us that {{{P=24}}} 



{{{P=2x+2y}}} Start with the formula for the perimeter of a rectangle



{{{24=2x+2(x+3)}}} Plug in {{{P=24}}} and {{{y=x+3}}}



{{{24=2x+2x+6}}} Distribute



{{{24-6=2x+2x}}} Subtract 6 from both sides.



{{{18=4x}}} Combine like terms.



{{{18/4=x}}} Divide both sides by 4.



{{{x=9/2}}} Reduce.



So the first part of the answer is {{{x=9/2}}} or {{{x=4.5}}}. This means that the width is 4.5 inches.



{{{y=x+3}}} Go back to the first equation



{{{y=9/2+3}}} Plug in {{{x=9/2}}}



{{{y=15/2}}} Combine the fractions.




So the second part of the answer is {{{y=15/2}}} or {{{y=7.5}}}. This means that the length is 7.5 inches.



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Answer:


So the width is 4.5 inches and the length is 7.5 inches