A garden plot is to contain 240 sq. ft. If its length is to be 3 times its width,what should its dimensions be?
help sir :)
if you call the width \(w\) then the length would be \(3w\) making the area \[w\times 3w=3w^2\] since you know it is 240 set \[3w^2=240\] and solve for \(w\) om twp steps
in two steps
divide by 3 take the square root
it should be two answers
what are the dimensions
we are solving for one variable, namely \(w\) which is the width
if you know \(w\) then the length is three time that
the answer should be 4 square root of 5 and 12 square root of 5
yes it should
is it clear how to get that answer?
how to get 12 square root of 5?
multiply \(4\sqrt{5}\) by \(3\)
the width is \(4\sqrt{5}\) and you are told that the length is three times the width, so if you know the width, multiply it by 3 to get the length
why?
is it clear why the width is \(4\sqrt 5\) ?
yes,but how did you get 12 square root of 5?
\[\large \text{" its length is to be 3 times its width"}\]
so as i wrote above, if you know the width, you know the length. multiply it by three
oh I get it, thank you sir, I thought its complicated
sir I have a question
Determine the diagonal of the rectangle inscribed in an isosceles right triangle,if the upper two vertices of the rectangle lie at the midpoints of the legs of the triangle
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