Question

7. The length and breadth of a field are in the ratio 7:5 and its perimeter is 168 m. Find the area of the
field. Also find the cost of cultivating the field at a cost of 4.75 per sq. meter.

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Answer 1

length of field , l = 7x  metres

breadth of field, b = 5x metres

perimeter of field = 168 m

2 (l + b ) = 168

l + b = 84

7x + 5x = 84

12x = 84

x = 7

so,

length, l = 7x = 7*7 = 49 m

breadth, b = 5x = 5* 7 = 35 m

Area of field = l * b

Area of field = 49 * 35

Area of field = 1715 m^2

cost for cultivating per metre square = 4.75 Rs

cost of cultivating 1715 metre square = 4.75 * 1715

cost of cultivating the field = 8146.25 Rs