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Through a rectangular field of length 90...

Through a rectangular field of length `90` `m` and breadth `60` `m`, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is `3` `m`, find (i) the area covered by the roads. (ii) the cost of constructing the roads at the rate of `Rs` `110` per `m^2`.

Text Solution

Verified by Experts

Area of the roads=> area of the 2 rectangle shaped parallel roads-area of the common square they share
Area of rectangle=`LxxB` where L and B are length and breadth of rectangle.
Area of square =`s^2` where s is the side of square
Area of roads=>`90xx3+60xx3-9`
=>`441(m)^2`
cost of making roads=>`441xx110=Rs.48510`
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