Question

the area of a square field is 5184 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

area of sq. =5184 ,a rec field length is 2x of its breadth x,. perimeter of rec=perimeter of sq. area=
5184
$\sqrt{5184$= 72. perimeter = 72*4=288. it is equal to perimeter of rec.
rectangle, 288= 2(2x+x)
=288=6x. ,= ,x =48. length = 48*2 =96, breadth = 48 so it's area= 96* 48=4608

Answer 2

let each side of the square field be x
a/q
${x}^{2} = 5184 \\ x = \sqrt{5184 }$
X=72m
Now,peimeter of field =72×4=288m
p of sq.=p of rect.
let breadth of rectangle be y.
a/q
2(2y+y)=288
6y=288
y=288/6
y=48,2y=48×2=96
area of rectangle=l×b=(48×96)m^2=4608m^2