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Question
How many tiles, each of area 400 cm2, will be needed to pave a footpath which is 2 m wide and surrounds a grass plot 25 m long and 13 m wide?
Solution
Consider the following figure.
Thus the required area = area shaded in blue + area shaded in red
= Area ABPQ + Area TUDC + Area A'PUD' + Area QB'C'T
= 2Area ABPQ + 2Area QB'C'T
=2( Area ABPQ + Area QB'C'T )
Area of the footpath is given by
A = 2(25 × 2 + 17 × 2)
= 168 m2
= 1680000 sq . cm
Hence number of tiles required = `(1680000)/(400)` = 4200
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