Question

A rectangular playground measuring 120m by 80m has a 3m wide walking track around it. find the area of the walking track.


please solve it with a proper explanation.​

Answer 1

Given :-

• Length of Inner Playground = 120m
• Breadth of Inner Playground = 80m
• Thickness of Track = 3m

To Find :-

• Area of the Walking Track.

Solution :-

Dimensions of Outer Playground :

• Length = 120 + 3 = 123m
• Breadth = 80 + 3 = 83m

★ Inner Playground ★

⇒ Area of Inner Playground = L × B

⇒ Area of Inner Playground = 120 × 80

⇒ Area of Inner Playground = 9600m²

________________

★ Outer Playground ★

⇒ Area of Outer Playground = L × B

⇒ Area of Outer Playground = 123 × 83

⇒ Area of Outer Playground = 10209m²

________________

★ Walking Path ★

⇒ Area of Path = Area of Outer Playground - Area of Inner Playground

⇒ Area of Path = 10209 - 9600

⇒ Area of Path = 609m²

________________

Therefore, The Area of Path is 609m²

________________

Answer 2

Step-by-step explanation:

$\huge{\underline{\mathrm{Given\: :}}}$

$\sf\blue{ Length \:of \:Inner\: Playground = 120m}$

$\sf\red{ Breadth \:of\: Inner\: Playground = 80m}$

$\sf\green{Thickness \:of \:Track = 3m }$

⠀━━━━━━━━━━━━━━━━━━━━━━━━

$\huge{\underline{\mathrm{To\:Find\: }}}$

Area of the Walking Track.

⠀━━━━━━━━━━━━━━━━━━━━━━━━

$\huge{\underline{\mathrm{Solution\: : }}}$

$\sf\blue{ Dimensions\: of \:Outer \:Playground\: :}$

$\sf\blue{ Length = 120 + 3 = 123m}$

$\sf\blue{Breadth = 80 + 3 = 83m }$

⠀━━━━━━━━━━━━━━━━━━━━━━━━

$\huge{\underline{\mathrm{ Inner\: Playground}}}$

$\sf\blue{⟼ Area \:of\: Inner\: Playground = L × B }$

$\sf\pink{⟼Area \:of\: Inner\: Playground = 120 × 80}$

$\sf\orange{⟼Area\: of \:Inner \:Playground = 9600m² }$

⠀━━━━━━━━━━━━━━━━━━━━━━━━

$\huge{\underline{\mathrm{Outer\:Playground }}}$

$\sf\blue{⟼Area \:of \:Outer \:Playground = L × B}$

$\sf\green{⟼Area\: of \:Outer\: Playground = 123 × 83 }$

$\sf\red{⟼ Area\: of\: Outer\: Playground = 10209m²}$

⠀━━━━━━━━━━━━━━━━━━━━━━━━

$\huge{\underline{\mathrm{Walking\: path\: :}}}$

$\sf\blue{⟼Area\: of\: Path = Area \:of\: Outer\: Playground - Area\: of \:Inner\: Playground}$

$\sf\pink{⟼ Area \:of \:Path = 609m²}$

⠀━━━━━━━━━━━━━━━━━━━━━━━━

Therefore, The Area of Path is 609m².