Tiles path

A rectangular park measures 24mX18m. A path 2.4m wide is constructed all around it. Find the cost of paving the path with cement tiles of size 60cm X 40cm at the rate of $5.60 per tile ?

Result

x =  5241.6 USD

Solution:

S1=24 18=432 S2=(24+2 2.4) (18+2 2.4)=656.64 S3=0.60 0.40=0.24 S=S2S1=656.64432=561625=224.64 n=S/S3=224.64/0.24=936 x=n 5.60=936 5.60=262085=5241.6 USDS_{ 1 }=24 \cdot \ 18=432 \ \\ S_{ 2 }=(24+2 \cdot \ 2.4) \cdot \ (18+2 \cdot \ 2.4)=656.64 \ \\ S_{ 3 }=0.60 \cdot \ 0.40=0.24 \ \\ S=S_{ 2 }-S_{ 1 }=656.64-432=\dfrac{ 5616 }{ 25 }=224.64 \ \\ n=S/S_{ 3 }=224.64/0.24=936 \ \\ x=n \cdot \ 5.60=936 \cdot \ 5.60=\dfrac{ 26208 }{ 5 }=5241.6 \ \text{USD}



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