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:

$3x \times 2x = 864 \\ {6x}^{2} = 864 \\ {x}^{2} = \frac{864}{6} \\ {x}^{2} = 144 \\ x = \sqrt{144 } \\ x = 12$

so

$length = 3 \times 12 = 36m \\ bredth = 2 \times 12 = 24m$

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