Question

A rectangular field is twice as long as its breadth.. A path of uniform width 2 m is running inside the field. if the cost of constructing the path at Rs 21.50 per sq. metre is Rs 7396,find the area of the field.​

Answer 1

Answer:

1800 m^2

Step-by-step explanation:

let, breadth = x.

length = 2x.

Total cost = 7396

per meter^2 cost = 21.50

$area \: of \: the \: path \: = \frac{7396}{21.50} = 344 \: {m}^{2}$

Breadth of path = 2 m.

area of road = 2 * 2 * 2x + 2 * 2*(x-4)

= 8x + 4x - 16

= 12x - 16

so, 12x - 16 = 344

or, 12x = 360

or, x = 30

breadth = 30

length = 60

area of field = 60 * 30

= 1800 m^2

Answer 2

Answer:

Step-by-step explanation: