Question

The area of a square field is 51844
A rectangudo fleld, whose length
is 5/4 th its breadth, has its
perimeter equal to the perimeter
of the square field. Find the grea
of the rectangular field?​

Answer 1

Answer:

51200

Step-by-step explanation:

 Let the breadth of rectangle be 4a. So the length should be 5/4 of 4a ⇒ 5/4 x 4a = 5a

  Therefore,

⇒ Perimeter of rectangle = 2( length + breadth )

             = 2( 4a + 5a )  

             = 2( 9a ) = 18a

Given,

     Perimeter of rectangle = perimeter of square

⇒ 18a = 4 * side of square

⇒ 18/4 a = side of square

⇒ 4.5 a = side of square

⇒ ( 4.5 a)^2 = side^2 = area of sq.

⇒ 20.25 a^2 = 51844

⇒ a^2 = 51844/20.25 = 2560( appro. )

        Area of rec. = length * breadth

          = 5a * 4a

          = 20a^2

          = 20 * 2560

          = 51200

Answer 2

Answer:

5108.2121

Step-by-step explanation:

Area of square field = 51844

Let the side of square be s

S^2 = 51844

S = √51844

S = 227.69

Let the breadth be x and length be 5x/4

Perimeter of square field = Perimeter of rectangular field

4S = 2(l+b)

4× 227.69 =2(5x/4 +x)

910.76 = 2(9x/4)

910.76/2 = 9x/4

455.38×4/9 = x

202.39 = x

Breadth = 202.39

Length = 252.99

Area of rectangular field = l×b = 202.39×252.99= 51081.2121