the area of a square is 81 cm sq find the perimeter and length of its diagonal
Answers
Answered by
2
Answer:
Step-by-step explanation:
A=a2
P=4a
Solving forP
P=4A=4·81=36
siya6894:
wrong hai
yes
The length of a side is
9
c
m
. The length of the diagonal is
12.73
c
m
.
Explanation:
The formula for area of a square is:
s
2
=
A
where A=area and s=length of a side.
Hence:
s
2
=
81
s
=
√
81
Since
s
has to be a positive integer,
s
=
9
Since the diagonal of a square is the hypotenuse of a right-angled triangle formed by two adjacent sides, we can calculate the length of the diagonal using the Pythagorean Theorem:
d
2
=
s
2
+
s
2
where d=length of the diagonal and s=length of a side.
d
2
=
9
2
+
9
2
d
2
=
81
+
81
d
2
=
162
d
=
√
162
d
=
12.73
9
c
m
. The length of the diagonal is
12.73
c
m
.
Explanation:
The formula for area of a square is:
s
2
=
A
where A=area and s=length of a side.
Hence:
s
2
=
81
s
=
√
81
Since
s
has to be a positive integer,
s
=
9
Since the diagonal of a square is the hypotenuse of a right-angled triangle formed by two adjacent sides, we can calculate the length of the diagonal using the Pythagorean Theorem:
d
2
=
s
2
+
s
2
where d=length of the diagonal and s=length of a side.
d
2
=
9
2
+
9
2
d
2
=
81
+
81
d
2
=
162
d
=
√
162
d
=
12.73
thanks ravi
wc
Answered by
6
Answer:
Step-by-step explanation:
d=root 2*a
area=a^2
81=a^2
a=9
diagonal= root 2*9=9 root 2 or 12.73
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