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 Question from Angeles: How many Feet Long In Half An Acre (Rectangle)

Hi,

To answer this I need to know more about the shape of the rectangle.

For example suppose the rectangle is twice as long as is is wide. If the width is $w$ feet then the length is $2 \times w$ feet and the area is $w \times (2 \times w) = 2 w^2$ square feet. One acre is 43,560 square feet (I asked Siri) and hence

$2 w^2 = \frac{43560}{2} \mbox{ or } w^2 = 10,890 \mbox{ square feet.}$

Thus $w = \sqrt{10,890} = 104.36$ feet and the length is $2 \times w = 208.7$ feet.

Now assume the length is 3 times the width and repeat the procedure above. You will find that the length in this case is much different.

Do you know how the width compares to the length?
Penny

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