Q. 113.7( 7 Votes )

# A rectangular plo

Answer :

Given:Length of plot = 125 m and Breadth of plot = 78 m. It has a gravel path 3 m wide all around on the outside.

To find:  The area of the path and the cost of gravelling it at RS. 75 per m2.

Solution:

Since gravel path is 3 m wide all around,

∴ Length of plot with path = 125 + (3 + 3)= 131 m

Breadth of plot with path = 78 + (3 + 3)= 84 m

Now,

Area of the rectangular plot without path= L × B

⇒ Area of the rectangular plot without path = 125 × 78 = 9750 m2

Area of rectangular plot with path = L × B

⇒ Area of the rectangular plot with path = 131 × 84 = 11004 m2

Area of the path =  Area of the rectangular plot with path -  Area of the rectangular plot without path

= 11004 - 9750

= 1254 m2
Cost of gravelling 1 mpath = Rs 75

Cost of gravelling 1254 mpath = Rs 75 × 1254
= Rs 94050

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