Question

5. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36m find the dimensions of the garden
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Answer 1

$\Large{\underline{\underline{\bf{GIVEN:-}}}}$

• Half the perimeter of rectangular garden is 36
• Whose length is 4 m more than its width.

$\Large{\underline{\underline{\bf{TO \: FIND}}}}$

• What are the dimensions of rectangular garden ?

$\Large{\underline{\underline{\bf{SOLUTION:-}}}}$

Let the Length of the rectangular garden be 'L' m and breadth be 'B' m

We know that the formula for finding the perimeter of rectangular garden is:-

【PERIMETER = 2(L + B)】

Half the perimeter of rectangular garden is:-

❮LENGTH + BREADTH❯

We have given that, the length is 4 m more than its width.

➠ L = B + 4....❶

According to question:-

➫ B + 4 + B = 36 [From equation 1)]

➫ 2B + 4 = 36

➫ 2B = 36–4

➫ 2B = 32

➫ B = $\sf{\cancel\dfrac{32}{2}}$

⠀⠀⠀✫ B = 16 m

Put the value of 'B' in equation 1)

➫ L = 16 + 4

⠀⠀⠀✫ L = 20 m ✫

❝ Hence, the Dimensions of the rectangular garden are 20 m and 16 m ❞

______________________

Answer 2

Answer:

Length and Breadth of the Rectangular Garden is 20 m and 16 m Respectively.

Step-by-step explanation:

Let the Width of the Rectangular Garden be y and the Length of the Garden be x.

✬ Given :–

• $\frac{Perimeter}{2}=36$ then the perimeter will be 36×2=72 m.
• x=y+4

✬ To Find :–

• The Length and Breadth of the Rectangular Garden.

✬ Formula Applied :–

• Perimeter of the Rectangle=2(l+b) where l represents length and b represents Breadth (Width).

✬ Solution :–

We know that,

 Perimeter of the Rectangular Garden=72 m

 Perimeter of rectangle=2(l+b)

→ 72=2(x+y)

→ 72=2(y+4+y)             [∵x=y+4]

→ 72=2(2y+4)

→ 72=4y+8

→ 4y=72-8

→ 4y=64

$\implies y=\frac{64}{4}$

$\implies \star\:\:\:\boxed{y=16}\:\:\:\star$

Now, we know that :

⇒ x=y+4

⇒ x=16+4

$\implies \star\:\:\:\boxed{x=20}\:\:\:\star$

∴ Length and Width of the rectangular garden is 20 m and 16 m Respectively.

_____________________________

→ Additional Information About Rectangle :-

A Rectangle is a 2D shape having 4 sides and 4 corners. Its two sides meet at right angles.

∴ Each angleof the Rectangle=90°.

Area of a Rectangle=Length × Breadth(Width)

→ Is Width and Breadth same in a Rectangle?

Yes, In a 2D shape Breadth is Same as that of the Width.

Wideness is denoted as Width in a 3D shape.

If someone were to say "the length and width of "(like in this Question) then ofcourse width then becomes synonym of breadth.