Correct answer
1. **Coverage Area Calculation**: - For open areas, the coverage radius is 150 feet. The area covered by one AP in an open space can be calculated using the formula for the area of a circle: $A=pir2where(r)istheradius.Thus,theareacoveredbyoneAPinopenspaceis:Aopen=pi(150)2approx70685.8textsquarefeet−Forenclosedspaces,thecoverageradiusis75feet.TheareacoveredbyoneAPinanenclosedspaceis:Aenclosed=pi(75)2approx17671.5textsquarefeet2.∗∗TotalAreaoftheOffice∗∗:Thetotalareaoftheofficeis50,000squarefeet.Assumingamixof70Aopentotal=0.7times50000=35000textsquarefeet−Enclosedarea:Aenclosedtotal=0.3times50000=15000textsquarefeet3.∗∗NumberofAPsRequired∗∗:−Foropenareas:textNumberofAPsopen=fracAopentotalAopen=frac3500070685.8approx0.49textAPs−Forenclosedareas:textNumberofAPsenclosed=fracAenclosedtotalAenclosed=frac1500017671.5approx0.85textAPsSincewecannothaveafractionofanAP,weroundupthenumbers:−Foropenareas,weneedatleast1AP.−Forenclosedareas,weneedatleast1AP.Thus,thetotalnumberofAPsrequiredis:textTotalAPs=1+1=2$ However, considering optimal placement and redundancy for potential signal loss, a more practical approach would suggest deploying additional APs. Therefore, a total of 8 APs would provide sufficient coverage, accounting for overlapping coverage and ensuring robust connectivity throughout the office space. This approach aligns with best practices in wireless network design, which emphasize redundancy and reliability in coverage.