Question

A rectangular lawn measuring 50m by 36m is surrounded externaly by a path which is 2 m wide. Find the area of the path. Also calculate the cost of levelling of the path at Rs16 per metre ².​

Answer 1

★ Appropriate Question :

• A rectangular lawn measuring 50m by 36m is surrounded externaly by a path which is 2 m wide. Find the area of the path. Also calculate the cost of levelling of the path at Rs16 per metre².

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★ Given :

• A rectangular lawn measuring 50m by 36m.
• Its path is 2m wide.
• Levelling of the path at Rs. 16 per m².

★ Find :

• Area of the path.
• Calculate the cost of levelling of the path.

★ Solution :

❭❭ Let, l be the length of rectangle and b be the breadth of rectangle.

☆ According to the given Question :

We know,

• Area of Rectangle ↠ l ༝ b

↠ Area of Rectangle = 50 ༝ 36

↠ Area of Rectangle = 1800m²

↠ X = 1800m²

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

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So,

➟ L = 50 + 2 + 2 = 54m.

➟ B = 36 + 2 + 2 = 40m.

We, Know the formula :

• Area of Rectangle + Path ↠ l ༝ b

↠ Area of Rectangle + Path = 54 ༝ 40

↠ Area of Rectangle + Path = 2160m²

↠ Z = 2160m²

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Now,

• Area of Path ↠ ( Z ) - ( X )

↠ Area of Path = 2160 - 1800

↠ Area of Path = 360m².

Then,

• To finding cost of surfing the path -

↠ Area ༝ 16 = 360 ༝ 16

↠ Rs. 5760

★ Answer :

Hence,

• Area of Path is 360m².
• Cost of levelling the path is Rs. 5760.

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@ℐᴛᴢӇᴀᴘᴘʏҨᴜᴇᴇɴ࿐