answer is 512 m square
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Answer:
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Step-by-step explanation:
so let the side of square be x m
also let the length of rectangle be l m and its breadth be b m
so we know that
area of square=side.square
so here area of square=576 m.square
thus then
576=side.square
taking square roots in both sides
we get
side of square=24 m (1)
now also we know that
perimeter of rectangle=2(l+b)
perimeter of square=4×side
so according to given condition
for rectangle,
l=2b (2)
thus also here it is said that
perimter of rectangle=perimter of square
ie 2(l+b)=4x
2(2b+b)=(4×24)
ie 2×3b=96
so 6b=96
ie b=16 m
substituting value of b in (1)
we get
l=32 m
so now we know that area of rectangle=l×b
=32×16
=512 m.square
hence area of rectangular field is 512 m.square
Step-by-step explanation:
Given: area of square field is 576 m^2
let side of square be x
so, x^2=576
=>x = √576
=>x = 24
Now the perimeter of square = 4x
=>4*24
=>96
Given that perimeter of square is perimeter of Rectangle and length is twice its breadth
length(l)=2* breadth(b)
l = 2b
so perimeter of square is equal to perimeter of rectangle
perimeter of rectangle = 2(l + b)
so,96 = 2(2b +b) [substitute l = 2b]
=>48 = 3b
=>b = 48/3
=>b = 16
So now b = 16 and length l = 2*16=32
And Area of rectangle is l*b
=>16*32
=>512