Question

A canal of width 1 metre is constructed all along inside the field which is 24 metre long and 15 metre wide find 1.the area of the canal 2. the cost of constructing the Canal at the rate of Rs. 12 per square. m.​

Answer 1

(1) The area of the canal 1 m wide along 24 m long 15 m wide field is 82 sq m

(2) The cost of constructing the canal at the rate of Rs. 12 per sq m is Rs. 982

Step-by-step explanation:

Length of the field = 24 m

Width of the field = 15 m

Width of the canal = 1 m

Area of the canal

= Area of the field including canal - Area of the canal

$=(24+2)(15+2)-24\times 15$

$=26\times 17-24\times 15$

$=442-360$m^2

$=82$m^2

Cost of constructing the canal per sqm = Rs. 12

Cost of constructing the whole canal

$=82\times 12$ Rs.

$=982$ Rs.

Hope this answer is helpful.

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Answer 2

Answer: 1) The area of canal is 82 m²

2) Cost f constructing the canal is Rs.  984

Step-by-step explanation:

Length of field= 24 m

breadth of field= 15 m

width of canal = 1 m

As we know area of rectangle = l x b where l is length and b is breadth

required area = area of field along canal - area of field

$area = (24+2)(15+2)- 25\times 15  = 26\times 17 - 24\times 15 = 82m^2$

Cost of 1 m² = Rs. 12

Cost of 82 m²= Rs. 12 x 82 = Rs. 984

Hence the required area is 82m² and the cost of constructing the canal is Rs. 984