Question 172398
Since "The length of a rectangular garden is three times its width", this means that {{{L=3w}}}


Area: {{{A=L*W}}}



{{{A=L*w}}} Start with the area formula



{{{75=(3w)*w}}} Plug in {{{A=75}}} (the given area) and {{{L=3w}}}



{{{75=3w^2}}} Multiply



{{{3w^2=75}}} Rearrange the equation.



{{{w^2=(75)/(3)}}} Divide both sides by {{{3}}} to isolate {{{z}}}.



{{{w^2=25}}} Reduce.



{{{w=5}}} Take the square root of both sides (only the positive square root is considered since a negative width doesn't make sense)



So the width is 5 m and the length (which is 3 times the width) is 3*5=15 m



==================================================



Answer:



So the width is 5 m and the length is 15 m