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Byju's Answer
Standard VI
Mathematics
Area of Square
A square has ...
Question
A square has a side of
8
c
m
The area of the square increase by
50
%
Work out of percentage increase in the length of the side.
Open in App
Solution
square of side 8 cm
Area of square increase 50%
percentage increase in length of side,
→
Area of square =
l
2
∴
=
(
8
)
2
=
64
→
Area increase 50%
So,
A
1
=
64
+
50
100
×
64
=
64
(
1
+
1
2
)
=
64
×
3
2
→
new lengths
A
1
=
l
2
∴
64
×
3
2
=
l
2
∴
L
2
=
64
×
3
2
∴
L
=
8.
√
3
2
→
percentage increase in length
=
L
−
l
l
=
8
√
3
2
−
8
8
×
100
=
(
√
3
2
−
1
)
×
100
=
0.2247
×
100
=
22.47
%
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