Question

The area of a square field is 576 m². A rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field. ​

Answer 1

Answer:

Step-by-steThe area of square field is 576 m^2

Therefore, side^2 = 576

Side = 24 m

Perimeter of Square field = 4 x side

= 4 x 24

= 96 m

Let the breadth of rectangular field = Y m

Then length of rectangular field = 2Y m

Perimeter of rectangle = 2(length + breadth)

= 2(2Y + Y)

= 2 x 3Y

= 6Y

AS PERIMETER OF SQUARE = PERIMETER OF RECTANGLE

Therefore, 6Y = 96

Y = 96 / 6

Y = 16 m

Means the length of rectangular field is 2 x 16

= 32 m and breadth is 16 m.

Area of rectangle = l x b

= 16 x 32

= 512 m^2 explanation:

Answer 2

Answer:

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Area of square field =576m²

As we know that side²=Area

so, side²=576m²

side=√576 m

side=24m

and perimeter=4×side

= 4×24m

=96m

Condition:

A rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of square field

Let the breadth be 'x' m

Then length=2x m

we know that

Perimeter = 2(l+b)

96m=2(3x)

96/6=x

x=16m

and

length=2×16=32m

Area of Rectangular Field =L×B

= 32×16m²

= 512m²