SEARCH HOME
 Math Central Quandaries & Queries
 Question from Ben: Hello, I'm trying to figure out what the length and width of 1 1/3 of an acre would be in a rectangle or in a perfect square

Hi Ben,

One acre is 43,560 square feet. (I'm a Mac user so I asked Siri.) hence 1 1/3 of an acre is

$\frac{4}{3} \times 43,560 = 58,080 \mbox{ square feet.}$

If the shape of this region is a square with side length $L$ feet then its area is

$L^2 = 58,080 \mbox{ and thus } L = \sqrt{58,080} = 241 \mbox{ feet.}$

If the region is a rectangle of length $L$ feet and width $W$ feet the you know that $L \times W = 58,080$ square feet. There are many values of $L$ and $R$ that will give $L \times W = 58,080.$ For example $L$ could twice $R,$ or three times $R,$ or one and a half times $R.$

I hope this helps,
Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.