Question

The length and breath of a rectangular peace of land are in ratio 4 and 3 if the total cost of fencing it at 10 rupees per meter is 4200 find the length and breath

Answer 1

EXPLANATION.

The length and breadth of a rectangular

peace of land in the ratio = 4:3

if the total cost of fencing it at 10 rupees

per meter is 4200.

To find the length and breadth.

According to the question,

Length of fencing = perimeter of rectangular.

=> 2 ( 4x + 3x )

=> 2 ( 7x )

=> 14x

Total cost is at 10 rupees per meter is 4200

=> 10 X 14x = 4200

=> 140x = 4200

=> x = 30

Therefore,

Length of the rectangle = 4x = 4(30) = 120 m

Breadth of the rectangle = 3x = 3(30) = 90 m

Answer 2

† ★ Given -:

Ratio of length : breadth of a rectangular piece =

4:3

Cost of fencing = ₹4200 if the rate is ₹10 per metre ..

★ To find -:

We know that,

1) Cost of fencing = Perimeter of the figure × rate

2) Perimeter of rectangle = 2(l + b)

________________________________

by putting the values in 1)

2400 = Perimeter × 10

Perimeter = 4200/10

→ Perimeter = 420 meters

________________________________

l : b = 4 : 3

l = 4x , b = 3x

by putting the values

420 = 2( 4x + 3x)

420 = 2(7x)

420 = 14 x

x = 420/14

x = 30 ..

________________________________

by putting the value of x

length = 4x = 4 × 30 = 120 m

breadth = 3x = 3 × 30 = 90 m