Mrs. Albright is trying to cover her tiled classroom floor with rugs to reduce the noise that her students generate when they are working in teams. Her classroom is $20$ feet by $25$ feet. While Mrs. Albright is shopping during the weekend, she notices a sale on $5$-foot circular rugs. If she needs to cover $80\%$ of her classroom floor space to notice a significant reduction in noise, should she buy the rugs from this sale?