a rectangular lawn is 90 m into 70 m in the centre of the long to cross past is 4 m wide are constructed at right angles is path is parallel to the sides of the path is parallel to the sides of the rectangle and find the total area of the cross paths also find the cost of gravelling them @ rate 25 m square
Answers
The total area of the cross paths is 624 m² and the cost of gravelling them @ rate 25 m square is Rs. 15600.
Step-by-step explanation:
The dimension of the rectangular lawn:
Length, l = 90 m
Breadth, b = 70 m
A cross path of width 4 m runs at the centre of the lawn and is parallel to the sides of the rectangular lawn.
Now,
Area of the path running parallel to the length of the lawn = l * w = 90 * 4 = 360 m²
Area of the path running parallel to the breadth of the lawn = b * w = 70 * 4 = 280 m²
Area of the common portion between the two cross paths = 4 * 4 = 16 m²
Therefore,
The total area of the cross paths is given by,
= [Area of the path running parallel to the length] + [Area of the path running parallel to the breadth] – [Area of the common portion]
= 360 + 280 – 16
= 624 m²
It is also given that the cost of gravelling the cross paths is Rs. 25 per meter square.
Therefore,
The cost of gravelling the 624 m² cross paths will be,
= Rs. 25 * 624 m²
= Rs. 15600
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Answer:
15600 is the correct answer