A took 15 second to cross a rectangular field diagonally walking at the rate of 52 m / min. and B took he same time to cross field along its sides walking at the rate of 68 m/ min. The area of the field is :
Length of diagonal = `( 52 xx 15/60)` m. = 13 m.
Sum of length and breadth = `(68 xx 15/60)` = 17 m.
`:.` `sqrt(l^2 + b^2) = 13`
or `l^2 + b^2 = 169` and l + b = 17
Area = lb = `1/2 (2lb)` = `1/2 [(l + b)^2 - (l^2 + b^2)]`
=`1/2 [(17)^2 - 169]` = `1/2 (289 - 169)` =` 60 m^2`
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