Question

the area of square field is 5184m. A rectangular field whose lengh is twice its breadth has its perimeter equal to perimeter of square field find the area of rectangular field

Answer 1

first of all we have to find side of square
it is given that the area of square is 5184m
so side =√area
=√5184m
= 72m
Now we have to find the perimeter of square
The perimeter of square
=4×side
=4×72m
=288m
Now let the breath of rectangular field =x
So length will be twice of breath =2x
Now it is given that the perimeter of square is equal to the perimeter of rectangular field
so,perimeter of square=perimeter of rectangular field
288m=2(length+ breath) (perimeter of rectangular field)
it is given that length of rectangular field=2x,and breath of rectangular field=x
so, 288m=2(2x+x)
288m=4x+2x
288m =6x
so. x=288/6
x=48m
Hence, the breath of rectangular field=x=48m
and length of rectangular field=2x=2×48
=96m
Now we have to find area of rectangular field
The area of rectangle=length×breadth
=96m×48m
=4608m
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Answer 2

refer to the picture for your answer
hope this must be the answer..