Question

the length and the breadth of a rectangular field are in the ratio 7:4 the cost of fencing the field at rs 25 per meter is Rs 3300.find the dimensions of the field

Answer 1

Let the length be 7x and breadth be 4x
2(7x+4x)25 = 3300
50 × 11x = 3300
11x = 3300÷50
11x = 66
x = 66÷11
x = 6
So length is 7×6=42cm and breadth is 4×6=24 cm.

Answer 2

The dimensions of the field are length = 42 meters and breadth = 24 meters

Solution:

Given that  

The length and the breadth of a rectangular field are in the ratio 7 : 4

The cost of fencing the field at rs 25 per meter is Rs 3300

As number of meter fence at cost of Rs 25 = 1 meter

So number of meter fence using Rs 1 = $\frac{1}{25}$

$\text{ So number of meter fence using } \text{ Rs } 3300=\frac{1}{25} \times 3300=132 meters$

As cost of fencing complete field is Rs 3300 + means perimeters of the field is 132 meters

As given ratio of length and breadth of rectangular field = 7 : 4

lets assume length of the field be 7x and breadth of the field be 4x

Perimeter of rectangle = 2 ( length + breadth)  

=> Perimeter of rectangular field =  2 ( 7x  + 4x)  

=> 132 = 22x

x = 6

Length of rectangular field = 7x = 7(6) = 42 meter

Breadth of rectangular field = 4x = 4(6) = 24 meter

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