Math, asked by Mrwinner2, 4 months ago

The area of a rectangle and square are same. If the side of a square is 80 m and length of rectangular park is 200 m. Find breadth and perimeter of the rectangle.​

Answers

Answered by ItzSugaryHeaven3
2

Answer:

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@ItzSugaryHeaven3

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Answered by XxmiragexX
3

Given :

Area of Rectangle and square are same .

Side of square is 80 m and length of rectangle is 200 m.

To Find :

Breadth and Perimeter of Rectangle .

Solution :

Firstly we will find the Area of Square :

Using Formula :

\tt\boxed{Area\:of\:Square=Side\times{Side}}

Putting Values :

\longmapsto\tt{80\times{80}}

\longmapsto\tt\bf{6400\:{m}^{2}}

Now ,

As Given that Area of Square is equal to the area of Rectangle . So ,

\longmapsto\tt{Length=200\:m}

Using Formula :

\longmapsto\tt\boxed{Area\:of\:Rectangle=l\times{b}}

Putting Values :

\longmapsto\tt{6400=200\times{b}}

\longmapsto\tt{\cancel\dfrac{6400}{200}=b}

\longmapsto\tt\bf{32\:m=b}

So , The Breadth of Rectangle is 32 m .

Now ,

\longmapsto\tt{Length=200\:m}  \\ \longmapsto\tt{Breadth=32\:m}

Using Formula :

\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}

Putting Values :

\longmapsto\tt{2(200+32)} \\ \longmapsto\tt{2(232)} \\ \longmapsto\tt\bf{464\:m}

So , The Perimeter of Rectangle is 464 m.

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