Question

Half the perimeter of a rectangular garden, whose length is 4m more than its width is 36 mt. Find
the dimentions of the garden.

Answer 1

Given

Half the perimeter = 36 m

Length = Breadth + 4

To find

Dimensions of rectangular garden.

Solution

Let the breadth of garden be a m.

➻ Length of garden = (a + 4) m

Here, half the perimeter = 36

⟼ Perimeter = 2 × 36

⟼ Perimeter = 72 m

We know that,

➨ Perimeter of rectangle = 2(l + b)

Putting values :

➻ 72 = 2(a + 4 + a)

➻ 72/2 = 2a + 4

➻ 36 = 2a + 4

➻ 36 = 2(a + 2)

➻ 36/2 = a + 2

➻ 18 = a + 2

➻ 18 - 2 = a

➻ a = 16

Now finding dimensions of garden :

➝ Length of garden = a + 4

= 16 + 4

= 20 m

➝ Breadth of garden = a

= 16 m

Therefore,

Dimensions of garden are 20 m & 16 m respectively.

Answer 2

Answer:

⋆ Half Perimeter = 36 metre

⋆ Full Perimeter = 36 metre × 2

⠀⠀ = 72 metre

Let the Width be n and Length be (n + 4).

☢ According to the Question :

⇢ Perimeter = 2(Length + Breadth)

⇢ 72 m = 2[(n + 4) + n]

• Dividing both term by 2

⇢ 36 m = [n + 4 + n]

⇢ 36 m = 2n + 4

⇢ 36 m – 4 = 2n

⇢ 32 m = 2n

• Dividing both term by 2

⇢ n = 16 m

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☯ Dimensions of Rectangle :

⟶ Length = n = 16 m

⟶ Width = (n + 4) = (16 + 4) = 20 m

∴ Length and Width of Rectangle is 16 m and 20 m respectively.