Question

A rectangular field measuring 36 m x 24 m is it be surrounded externally by a path which is 25 m wide.
the cost of constructing this path at the rate of 4.5 per m.
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Answer 1

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=Area of rectangle = L x B

= Area of rectangle = 50 x 36

=Area of rectangle = 1800 m²

=X = 1800 m²

We know that length and breadth increase by 2 m from their both ends.

= L = 50 + 2 + 2 = 54 m.

= B = 36 + 2 + 2 = 40 m.

We know formula of

=Area of rectangle + path = L x B

=Area of rectangle + path

= 54 x 40

Area of rectangle + path

= 2160 m²

X = 2160 m²

Area of path =( Z ) - (X)

Area of path = 2160 - 1800

Area of path = 360 m²

To finding cost of surfing the path

Area x 16 = 360 x 16= Rs 5760

Hence cost of levelling the path is Rs 5760

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Answer 2

..QUESTION..

A rectangular field measuring 36 m × 24 m is surrounded externally by a wide path which is 25 m wide . Find the cost of constructing the path at the rate of Rs 4.5 per m

..ANSWER..

Given here ,

ㅤㅤㅤ➪ Length of field = 36 m

ㅤㅤㅤ➪ Breadth of field = 24 m

ㅤㅤㅤ➪ Width of path = 35 m

ㅤㅤㅤ➪ Rate of constⁿ of path = rs 4.5

☯︎ We know that » Perimeter(rectangle) = 2 ( l + b )

•°• A / Q

ㅤㅤㅤ➪ Perimeter of the field

ㅤㅤㅤ➪ 2 ( l + b )

ㅤㅤㅤ➪ 2 ( 36 + 24 )

ㅤㅤㅤ➪ ( 2 × 36 ) + ( 2 × 24 )

ㅤㅤㅤ➪ 73 + 48

ㅤㅤㅤ➪ 121ㅤㅤㅤ --------------»

•°• Perimeter of field = 121 m

★ Now , Perimeter of field along with path =

☯︎ Length of " " " " = 36 + 25 = 61 m

☯︎ Breadth of " " " " = 24 + 25 = 49 m

★ Add 25 × 2 to length

☯︎ Length = 61 + 50 = 111 m

•°• Perimeter of field with path ➪

ㅤㅤㅤ➪ 2 ( l + b )

ㅤㅤㅤ➪ 2 ( 111 + 49 )

ㅤㅤㅤ➪ ( 2 × 111 ) + ( 2 × 49 )

ㅤㅤㅤ➪ 222 + 98

ㅤㅤㅤ➪ 320 ㅤㅤㅤ------------------»

•°• Perimeter(field) with path = 320 m

•°• Perimeter of the path =

➪ perimeter(field+path) - perimeter(field)

ㅤㅤㅤ➪ 320 m - 121 m

ㅤㅤㅤ➪ ( 320 - 121 ) m

ㅤㅤㅤ➪ 199 m

★ Now ,

☯︎ Rate of constructing path = Rs 4.5 / m

•°• A / Q

➪ Cost of constructing 1 m = Rs 4.5

➪ Cost of constructing 121 m = 4.5 × 121

➪ㅤ"ㅤㅤ"ㅤㅤㅤ"ㅤㅤㅤ"ㅤㅤ" = 544.5

•°• Construction(road) cost = Rs 544.5

ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

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