Question

Two plot of land have the same perimeter one is square of side 64 m and the other a rectangle with length 80m . Which plot has the greater area and how much

Answer 1

at first we can find the area of square which having a side 64m
area of square is 64*64=4096
then the length of a rectangle is given 80m
now we can find the breadth of a rectangle
area of rectangle l*b=4096 ,80*b= 4096,b=51.2
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Answer 2

first square plot
are of square =64*64
4096 is the area of square
now rectangle plot
length 80
breadth=
now fin breadth
Peri of both plot is equal so
square plot's Peri=rectangle plot Peri
4*64=Peri
256
so Peri is 256
now breadth
perimeter =2(l+b)
256 =2(80+b)
256=160+2b
256-160=2b
96=2b
96/2=b
48=breadth
now area
l*b
80*48
3840
now which area is bigger
4096-3840
256
squares area is bigger by 256
hope it helps you