SEARCH HOME
 Math Central Quandaries & Queries
 Question from Jamie: Dear Faithfullness, I was previously to be purchasing a square 1 acre plot, which I believe was to have 209feet, 4 sides perimeter. How big would a 1.4 acre site be? In sq feet length ie original 209ft + (the added 0.4)

Hi Jamie,

Google can helps with this. If you type 1 acre in square feet into the Google search window you get the reply that 1 acre is 43560 square feet. If your acre is actually a square as you say it is and the side length is $s$ feet then

$s \times s = s^2 = 43560 \mbox{ square feet }$

and thus

$s = \sqrt{43560} = 208.7 \mbox{ feet }$

or almost 209 feet as you said.

If the area of the square is 1.4 acres that's $1.4 \times 43560$ square feet. If the side length of this square is $t$ feet then

$t^2 = 1.4 \times 43560 \mbox{ square feet.}$

Solve for $t.$

Write back if you need more assistance,
Penny

Math Central is supported by the University of Regina and the Imperial Oil Foundation.