Question

The length and breadth of a rectangular piece of land are in the ratio 5:3. If the total cost of fencing at rs 7 per meter is rs 2800,find the area of the plot

Answer 1

(5×5) (5×3) = 375 square metre

Answer 2

Answer:

9375 sq.m.

Step-by-step explanation:

The length and breadth of a rectangular piece of land are in the ratio 5:3.

Let the ratio be x

So, length = 5x

Breadth = 3x

Perimeter of rectangular field = 2(l+b)=2(5x+3x)=16x

Perimeter of fencing at cost rs.7 = 1 m

Perimeter of fencing at cost rs.1 = 1 /7 m.

Perimeter of fencing at cost rs.2800= (1 /7)*2800 m.

                                                   =400 m.

Thus the perimeter = 400 m

So, 16x = 400

x = 25

So, length = 5x = 5*25 = 125 m

Breadth = 3x= 3*25 =75 m.

Area of rectangular field = Length *  Breadth = 125* 75 =9375 sq.m.

Hence the are of plot is 9375 sq.m.