Math, asked by rajkumarsingh0960329, 10 months ago

A path 3m wide runs around the inside of a square park of side 60m.Find the area of the path

Answers

Answered by Anonymous
13

Answer:

A path 3m wide runs around the inside of a square park of side 60m. find the area of the path. iam waiting sir. Plz mark brain. Area of Square Park. =side×side. =60×60=3600 m^2. Area of square park inside 3m path.=(60-6)×(60-6) 54×54=2916m^2. area of path= area of square- area of square park inside path. 3600-2916=684m ...

Answered by Sauron
30

Answer:

Path's area is 684 m².

Step-by-step explanation:

Given :

Path's width = 3 m

Side of the Square = 60 m

To find :

The Area of the path

Solution :

\boxed{\textsf{Path's area = Park's area - Park's area excluding path}}

\textsf{\underline{\underline{Park's area : }}}

\sf{Area\:of \: Square =\purple{ Side \times Side}}

\sf{\implies} \:60 \times 60 \\  \\ \sf{\implies} \:3600 \:  {m}^{2}

\rule{300}{1.5}

\textsf{\underline{\underline{Park's area excluding the path : }}}

Side of the park excluding path =

  • 60 - 6 = 54 m

\sf{Area\:of \: Square =\purple{ Side \times Side}}

\sf{\implies} \:54 \times 54 \\  \\ \sf{\implies} \:2916 \:  {m}^{2}

\rule{300}{1.5}

\textsf{\underline{\underline{Path's Area :}}}

\sf{\implies} \:3600 - 2916 \\  \\ \sf{\implies} \:684 \:  {cm}^{2}

Area of the path is = 684 m²

\therefore Path's area is 684 m².

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