Question

3. A rectangular park is 90 m long and 75 m
wide. A path 5 m wide is constructed
outside the park. Find the area of the path.
​

Answer 1

➛ CΩRRΣCT QUΣSTIΩΠ :

• A rectangular park is 90 m long and 75 m wide . A 5m path is constructed outside the park . Find the area of a Path ?

➛ ΔΠSШΣR :

• 1 , 750 m² is the area of a path ✔

step - by - step Explanation

★ GIVEN :•

• Length of the park = 90 m

• Breath of the park = 75 m

• Width of the path = 5 m

★ FIND :•

• Area of the path = ?

★ REQUIRED FORMULA :•

☻ Area of a path = area of large rectangle - area of small rectangle

★ SOLUTION :•

➠ Area of the rectangular park

( excluding the path ) :

= ( inner length × inner breadth )

= ( 90 m × 75 m )

= 6,750 m²

➠ Area of a Rectangular park

( including the path ) :

➦ ( outer length × outer breadth )

★ First we will find outer length and breadth for finding the area of a rectangular park including the path .

Outer length = Inner length + Twice of width

= 90 m + 2 × 5 m

= 100 m

Outer breadth = Inner breadth + Twice of width

= 75 m + 2 × 5 m

= 85 m

Area of a Rectangular park :

= 100 m × 85 m

= 8,500 m²

★ Now we can Calculate the area of the path :

➜ Area of a path = 8500 m² - 6750 m²

= 1 , 750 m²

_____________________

~@amna3961 ♫︎ ♡︎

Answer 2

$answer$

➛ CΩRRΣCT QUΣSTIΩΠ :

A rectangular park is 90 m long and 75 m wide . A 5m path is constructed outside the park . Find the area of a Path ?

➛ ΔΠSШΣR :

1 , 750 m² is the area of a path ✔

step - by - step Explanation

★ GIVEN :•

Length of the park = 90 m

Breath of the park = 75 m

Width of the path = 5 m

★ FIND :•

Area of the path = ?

★ REQUIRED FORMULA :•

☻ Area of a path = area of large rectangle - area of small rectangle

★ SOLUTION :•

➠ Area of the rectangular park

( excluding the path ) :

= ( inner length × inner breadth )

= ( 90 m × 75 m )

= 6,750 m²

➠ Area of a Rectangular park

( including the path ) :

➦ ( outer length × outer breadth )

★ First we will find outer length and breadth for finding the area of a rectangular park including the path .

Outer length = Inner length + Twice of width

= 90 m + 2 × 5 m

= 100 m

Outer breadth = Inner breadth + Twice of width

= 75 m + 2 × 5 m

= 85 m

Area of a Rectangular park :

= 100 m × 85 m

= 8,500 m²

★ Now we can Calculate the area of the path :

➜ Area of a path = 8500 m² - 6750 m²

= 1 , 750 m²

_____________________

Jay Maharashtra