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Byju's Answer
Standard IX
Mathematics
Geometric Estimation Value of Square Root
Find the leng...
Question
Find the length of the diagonal of a square whose area is 128 cm
2
. Also, find its perimeter.
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Solution
Area of the square = 128 cm
2
Area
=
1
2
d
2
(
where
d
is
a
diagonal
of
the
square
)
⇒
128
=
1
2
d
2
⇒
d
2
=
256
⇒
d
=
16
cm
Now,
Area =
Side
2
⇒
128
=
Side
2
⇒
Side
=
11
.
31
cm
Perimeter = 4(Side)
=
4
11
.
31
=
45
.
24
cm
Thus, the perimeter of the square is 45.24 cm.
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