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Byju's Answer
Standard VI
Mathematics
Area of Square
If the side o...
Question
If the side of a square are doubled, what is the ratio area of the area of the original square to that of the new square
?
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Solution
If the length of a side of square is
x
then,
A
r
e
a
=
x
2
If the length of a side of square is
2
x
then,
N
e
w
A
r
e
a
=
2
x
×
2
x
=
4
x
2
R
a
t
i
o
=
O
r
i
g
i
n
a
l
a
r
e
a
N
e
w
a
r
e
a
=
x
2
4
x
2
=
1
4
therefore , the ratio is
1
:
4
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