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The sides of a rectangular field are in he ratio  3 : 4 . If the area of the field is 7500 sq. m. the cost of fencing the field  @ 25 paise per metres is :


Options:
A .  Rs. 55.50
B .  Rs. 67.50
C .  Rs. 86.50
D .  RS. 87.50
Answer: Option D

Let length = `(3x)` metres and  breadth  = `(4x)` metres

Then ,  `3x xx 4x = 7500`

`hArr    12 x^2 = 7500`        `hArr    x^2 = 625         hArr       x= 25`

so, length = 75 m and  breadth = 100 m.

perimeter = [2 (75 + 100)] =  350 m.

`:.`     Cost fencing =  Rs. (0,25 x 350) = Rs. 87.50.



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