the total perimeter of square and rectangle is 40 metres. the breadth of the rectangle is half of the side of the square. what is the difference between the two areas
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Step-by-step explanation:
perimeter of square =4a
perimeter of square= 40 m ( given)
so, they both are equal.
then,
4 a = 40
a= 40/4
a=10m
one side of the square is 10 m
area of square= side × side
area of square= 10×10
area of square= 100 metre square
if the breadth is half of the side of square then
b= 10/2
b=5m
perimeter= 2(l+b)
perimeter= 40m ( given)
so, they are equal
then
40 = 2(l+b)
40= 2(l+5) ( this is small L not 1 so don't confuse)
40/2 = l+5
20=l+ 5
20-5 = l
15 m = l
length of rectangle is 15 m
area of rectangle is = length×breadth
area of rectangle= 15×5
area of rectangle= 75 metre square
THE DIFFERENCE BETWEEN TWO AREA IS 100-75 is 25metre square
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