Question

a rectangular lawn is 90 m × 70 . in center lawn two cross path each 4 wide are right to right angles . each path is a parallel the one side of rectangular lawn . find the total area of cost path . also find the cost travelling then rate 25 square m​

Answer 1

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 2

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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