You can
put this solution on YOUR website!"The length of a rectangle is approximately 1.6 times the width" translates to
Since the area of any rectangle is
and the area is "9000m^2", this means that
Start with the second equation
Plug in
and
Rearrange the terms.
Multiply
Divide both sides by 1.6
Divide.
Take the square root of both sides. Note: only the positive square root is considered (since a negative width doesn't make sense)
Take the square root of 5625 to get 75
So the first answer is
which means that the width is 75 meters.
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Go back to the first equation
Plug in
Multiply
So the second answer is
which means that the length is 120 meters.
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Answer:
So the solutions are
and
which means that the width is 75 meters and the length is 120 meters.
You can
put this solution on YOUR website!The length of a rectangle is approximately 1.6 times the width. Find the dimensions of the rectangle is its are is 9000m^2
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There is no need to be confused.
1st draw the picture of a rectangle
2nd label the width as "x" and the length as "1.6x"
3rd label the inside (area) as 9000m^2
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4th: write the equation for area: A = (length)(width)
5th: substitute what you know for the words
9000 = 1.6x*x
6th solve for "x"
1.6x^2 = 9000
x^2 = 9000/1.6
x^2 = 5625
x = 75 meters (width)
1.6x = 120 meters (length)
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Cheers,
Stan H.
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