Question

The. Perimeter of a rectangular garden is 72 cm if its breadthe is one third of its length then length and breathe of the garden.

Answer 1

P= 72 cm

b=1/3 l

2(l+b)= 72

2(l+1/3 l)= 72

4l/3= 36

4l = 36 x3

l= 36 x3 / 4

l= 27cm

b = 1/3 x 27

b=9cm

Answer 2

Answer:

length=27

breadth=9

Step-by-step explanation:

let,

length(l)=x

breadth(b)=$\frac{1}{3}$x

perimeter of a rectangle= 2(l+b)

72 = 2(x+$\frac{1}{3}$x)

72= 2($\frac{3x+x}{3}$)

72= 2($\frac{4x}{3}$)

72= $\frac{8x}{3}$

72(3)= 8x

216= 8x

$\frac{216}{8}$= x

27= x   {length}

breadth= $\frac{1}{3}$x

     = $\frac{1}{3}$(27)

     = 9