Question

A square plot of area 400 m² is surrounded by a path which is 2 m wide. Find the area of the
path.
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Answer 1

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Given :-

• Area of the Square plot = 400m²

• Width of the path = 2m

To Find :-

• Area of the path

Solution :-

According to the question,

➣ Area of the Square plot = 400m²

➣ Formula of Area of square = (side)²

By substituting values,

⇒ (Side)² = 400m²

⇒ Side = √400

∴ The Side of the Square plot = 20m

we know that,

width of the path = 2m

∴ Side of the plot including path = 20m + 2m

➥ 22m

Area of the plot including path = (side)²

⇒ (22m)²

∴ Area of the plot including path = 484m²

Now,

➣ Area of the path = Area of square Plot including path - Area of the square Plot

By substituting values,

⇒ 484m² - 400m²

➠ 84m²

Hence, The area of the path is 84m²

Answer 2

Step-by-step explanation:

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A square plot of area 400 m² is surrounded by a path which is 2 m wide. Find the area of the path.

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GIVEN

Area of Square plot = 400m²

Width of path = 2m

TO FIND

Area of Path.

Area of Square plot = 400m²

Side of Square plot = 400

⟹side=20mExterior side = 20+2 = 22

Area of plot including path = 22 × 22⟹A=484m²

NOW

Area of path = 484 - 400A

= 84m