Question

The ratio of length and width of rectangular field is 3 : 2. If area of field is 864 sq meters, find perimeter.​

Answer 1

Answer:

Given that:

Length of a rectangle field =3x

Breadth of a rectangle field =2x

Area =3456 m

2

3x×2x=3456 m

2

6x

2

=3456 m

2

x

2

=576 m

2

x=24 m

Therefore, the length =72 m

Breadth =48 m

Perimeter of the rectangular field =72+48=120 m

Cost of 1 meter =Rs.4

Cost of 120 meter =Rs.4×120=Rs.480.

Step-by-step explanation:

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Answer 2

Answer:

Ratio of length and breadth is 3:2 (l:b)

Area = l*b = 294

3x * 2x = 294

6x^2 = 294

x^2 = 294/6

x^2 = 49

x= square root of 49

x= +/- 7.

Length and Breadth can not be negative hence x=7

l:b = 3:2 => 3x:2x => 21:14

Area = l*b = 21*14 = 294

Circumference of Rectangle= 2*(l+b)

=2*(21+14)

= 2*35 = 70m

Cost to fence per meter = 28

cost to fence 70m = 28*70

=1960