Question

The breadth of a rectangular garden is 2÷3 of its length . If its perimeter is 40 m. find its dimensions .​

Answer 1

Answer:

• Length = 12 m
• Breadth = 8 m

Step-by-step explanation:

Given :

• The breadth of a rectangular garden is 2/3 of its length.
• The perimeter is 40 m.

To find :

• The dimensions of the rectangular garden.

Solution :

Let the length of the rectangular garden be x.

Then, it's breadth = $\sf \dfrac{2}{3} \: of \: x$

⇒ Breadth = $\sf \dfrac{2x}{3}$

We know that,

Perimeter of rectangle = 2 (length + breadth)

$\sf \implies 40 = 2\left(x + \frac{2x}{3} \right) \\\\\implies \sf \frac{40}{2} = \frac{3x+2x}{3} \\\\\implies \sf 20 = \frac{5x}{3}$

On cross-multiplying ;

$\sf \implies 5x = 60\\\\\implies \sf x = \frac{60}{5} \\\\\implies \sf x = 12$

Thus,

• Length = x = 12 m
• Breadth = $\sf \frac{2}{3}x = \frac{2}{3} * 12 =$ 8

Hence, the length and breadth of the rectangular garden is 12 m and 8 m respectively.

Answer 2

Answer: Length = 12m and breadth = 8m

Step-by-step explanation

Breadth is equal to 2/3 of length

Let length be x

Therefore breadth is 2/3*x

Perimeter = 2(l+b)

      40      =  2 ( x + 2/3*x)

      40      =  2 {(3x + 2x)/3}

      40      =  (6x + 4x)/3

    120       =    10x

     12/10    =     x

       12      =      x

Therefore, Length of the garden is 12m and breadth is 2/3*x = 8m

Hope this helps!

Please Mark as Brainliest!!