Question

The area of a square field is 5184m2. 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 rectangle.

Answer 1

given,
the area of square is=5184m²
s×s=5184
s²=5184
s=√5184
s=72
according to problem,
l=2x
b=x
we know that,
perimeter of square=perimeter of rectangle
4s=2(l+b)
4×72=2(2x+x)
288=6x
x=288/6
x=48
from problem,
l=2x
=2×48
=96
b=x
=48
therefore length is 96
               breadth is 48
area of rectangle = l × b
                            = 96 × 48
                             =4608 m²
 
                            

Answer 2

Area of square field = 5184m^2
Square root of 5184 = 72m 
Therefore perimeter of square field = 4 * 72 = 288m
Rectangular field.
Breadth = x
Length = 2x
Perimeter = 2*length + 2*breadth
= 2(2x) + 2(x)
= 6x
Perimeter of rect field = Perimeter of square field.
6x = 288m
x = 48m
Breadth of rectangular field = 48m
Length of rectangular field = 96m.
Hope this helps.