Answer:
Diagonal(D) of a square is given by:
\(D = \sqrt{2}a\)
where, a is the length of one side of the square.
As per the statement:
Ashley draws a square that has a diagonal of 15 centimeters
⇒\(D = 15 cm\)
then;
\(15 = \sqrt{2}a\)
Squaring both sides we have;
\(225 = 2a^2\)
Divide both sides by 2 we have;
\(112.5 = a^2\)
or
\(a^2 = 112.5\)
⇒\(a = \sqrt{112.50}= 10.6066017\)
Therefore, the length of one side of the square (Rounded to the nearest tenth) is, 10.60 cm
