Question

A rectangular plot is 120 m long110 m wide.A path 3m is to be built all around it outside the border. Find the area of the path

Answer 1

Answer:

1416 sq m

Step-by-step explanation:

Shortcut

Eqn= 2 ( breadth of the path) *(length +width of the plot +2(breadth of the path)

That is

=2(3)(110+120 +2(3)

=6(230+6)

=6(236)

=1416sq m

Answer 2

Question :-

A rectangular plot is 120 m long110 m wide.A path 3m is to be built all around it outside the border. Find the area of the path .

Answer :-

${\sf{\underline{\boxed{\green{\sf{ Area\:of\:the\:path\:=\:1344 \:m²}}}}}}$

───────────────────────

$\huge{\underline{\underline{\red{Solution:-}}}}$

➢${\sf{\underline{\boxed{\green{\sf{ Given }}}}}}$

➟Length = 120 m

➟ Breadth = 110m

➟A path 3m is to be built all around it outside the border

According to question -

we know that ,

Area of the rectangular plot ➾ ${\sf{\underline{\boxed{\red{\sf{ l\: × \:b }}}}}}$

Area of the rectangular plot

➾ ${\sf{\underline{\boxed{\red{\sf{( 120\:×\:110)m²}}}}}}$

➾${\sf{\underline{\boxed{\red{\sf{ 13200\:m²}}}}}}$

⠀ ⠀

length of the including path

➾{ 120 - ( 3+3 ) }

➾ 114

Breadth of the including path

➾ {110 - ( 3+3 ) }

➾ 104

Area of the including path

➾ 114 × 104

➾ 11856 m²

${\sf{\red{\sf{ ∴}}}}$ Area of path = Area of rectangular path - Area of the including path

Area of path ➾ ( 13200 - 11856 ) m²

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ➾ 1344 m²