Question

a square garden ;lot mesasures 80sq fts. a second sq garden plot measures 320 sq fts. how many more feet of fence will the second garden plt require over the required for the firs garden plot?

i got 80 ft is that right?

Answer 1

Actually you are not it is \[48\sqrt{5}\] ft

Answer 2

The length of each side of the 80 sq ft plot is as follows:
\[\sqrt{80}\]
The total length of fencing for the 80 sq ft plot is as follows:
\[4\times \sqrt{80}=16\times \sqrt{5}\]
The length of each side of the 320 sq ft plot is as follows:
\[\sqrt{320}\]
The total length of fencing for the 320 sq ft plot is as follows:
\[4\times \sqrt{320}=32\times \sqrt{5}\]

Extra length of fence needed for 320 sq ft plot is as follows:
\[(32\times \sqrt{5})-(16\times \sqrt{5})=(16\times \sqrt{5})ft\]