Q. 16

# A 80 m by 64 m rectangular lawn has two roads, each 5 m wide, running through its middle, one parallel to its length and the other parallel to its breadth. Find the cost of gravelling the roads at RS. 40 per m^{2}.

Answer :

**Given: **A 80 m by 64 m rectangular lawn has two roads, each 5 m wide, running through its middle, one parallel to its length and the other parallel to its breadth.**To find: **The cost of gravelling the roads at RS. 40 per m^{2}.

**Solution:**

Length = 80 m

Breadth = 64 m

Width of road = 5 m

Area of horizontal road = 5 m × 80 m = 400 m^{2}

Area of vertical road = 5 m × 64 m = 320 m^{2}

Area of common part to both roads = 5 m × 5 m = 25 m^{2}

Now,

Area of roads to be gravelled = Area of horizontal road + Area of vertical road - Area of common part to both roads

= 400 m^{2} + 320 m^{2} - 25 m^{2}

= 695 m^{2}

Cost of gravelling = 695 m^{2} × Rs 40 per m^{2}

= Rs 27800

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PREVIOUSA carpet is laid on the floor of a room 8 m by 5 m. There is a border of constant width all around the carpet. If the area of the boarder is 12 m2 find its width.NEXTThe dimensions of a room are 14 m x 10 m x 6.5 m. There are two doors and 4 windows in the room. Each door measures 2.5 m x 1.2 m and each window measures 1.5 m x 1m. Find the cost of painting the four walls of the room at RS. 35 per m2.

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