Question

The area of a square is 81 square centimeters. First finde the length of a side. Then find the length of the diagonal

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

The answer is 9 cm. I hope that is right.