Question

The length and breadth of a plot are in the ratio 11:4. At the rate rupees 100 per metre, it will cost 75,000 to fence
the plot. Find the dimension of the plot.​

Answer 1

Answer:

HEY USERS!

SOLUTION: DIMENSIONS OF THE PLOT BE x

Length=11×x=11x

Breadth=4×x=4x

cost of 1 meter village=100 rupees

perimeter of the plot=75000/100 meter

=750 meter

As we know that, perimeter of rectangle=2(length+breadth)

According to the question,

2(11x+4x)=750

22z+8x=750

30x=750

x=750/30

x=25 meter

hence, length of plot=11×25=275 meter

breadth of plot=4×25=100 meter

HOPE IT WILL HELP YOU!

Answer 2

Answer: Dimensions = 275m and 100m respectively.

Step-by-step explanation:Given: Total cost = Rs. 75000, Rate = Rs. 100/m.

Perimeter of plot = total cost/rate

=75000/100

=750m

Clearly, perimeter of plot is 750m

Now,

Let the length be 11x and breadth be 4x.

Then,

Perimeter of plot= 2(length +breadth)

750m = 2(11x+4x)

750m=22x+8x

750m=30x

750m/30=x

Therefore, x= 25m

So, length= 11*25m = 275m and breadth=4*25=100m

Hence, the dimensions of the plot is 275m100m respectively.