Question

5. 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.​

Answer 1

Answer:

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 :

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

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 :

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

Putting Values :

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

So , The Perimeter of Rectangle is 464 m .

Answer 2

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 :

Area of Square= side×side

Putting values 80×80

= 6400m²

Now, as given that area of sq. is equal to the area of rectangle so,

Length =200m

Using Formula area of rectangle=L×B

6400= 200×b

6400/200= b

B= 32

So the breath of rectangle is 32m.

Now length= 200m

And breath= 32m

So, perimeter of rectangle= 2(l+b)

= 2(200+32)

= 232×2

= 464m

So , The Perimeter of Rectangle is 464 m .

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