# 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 ?

Correct result:

x =  5241.6 USD

#### Solution:

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

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