Question

Half the perimeter of a retangle garden whose length is 4cm more than its width is 36. Find the dimension of the garden​

Answer 1

Answer:

The length and width of the rectangular garden is 20 cm and 16 cm respectively.

Step-by-step explanation:

Solution :

Half Perimeter = 36 cm

Length is = 4 cm more than width

Dimensions of the garden = ??

Let,

• Width of rectangle = x
• Length of rectangle = x + 4

Half Perimeter of rectangle = 36 cm

★ According to the Question :

$\rightarrow$ x + (x + 4) = 36

$\rightarrow$ 2x + 4 = 36

$\rightarrow$ 2x = 36 - 4

$\rightarrow$ 2x = 32

$\rightarrow$ x = 32 / 2

$\rightarrow$ x = 16

Width of rectangle = 16 cm

__________________

★ Length of rectangle =

$\rightarrow$ x + 4

$\rightarrow$ 16 + 4

$\rightarrow$ 20

Length of rectangle = 20 cm

_______________________

The dimensions =

• Length = 20 cm
• Width = 16 cm

Therefore, the length and width of the rectangular garden is 20 cm and 16 cm respectively.

Answer 2

Given:-

• Half the perimeter of a retangle garden whose length is 4cm more than its width is 36cm.

To Find:-

• Dimension of the garden

Formula Used:-

• ${\boxed{\bf{Perimeter\:of\: Rectangle=2(l+b)}}}$

Solution:-

Let the Width of the Rectangle be x.

According to question,

• Width = x

• Length = x + 4

$\sf :\implies\:Half\:Perimeter = 36\:cm$

$\sf :\implies\:\dfrac{2(l+b)}{2} = 36$

$\sf :\implies\:l+b= 36$

$\sf :\implies\:x+4+x= 36$

$\sf :\implies\:2x+4= 36$

$\sf :\implies\:2x= 36-4$

$\sf :\implies\:x= \dfrac{32}{2}$

$\bf :\implies\:x= 16$

Putting Values,

$\sf :\implies\: Width = x$

$\bf :\implies\: Width = 16\:cm$

And,

$\sf :\implies\:Length = x + 4$

$\sf :\implies\:Length = 16 + 4$

$\bf :\implies\:Length = 20\:cm$

Hence, The Dimensions of the rectangular garden are 20cm by 16cm.

━━━━━━━━━━━━━━━━━━━━━━━━━