Question

1 point 1 Find the length of a diagonal of a square with perimeter 19. Ro Type your Iswer.. 2 I point A rectangle has a diagonal of 23 and a length of 5. Find its widt 4 Type your answer Given the area factor of 1916 for aulind

Answer 1

The perimeter of the square is P = 19.

Determine the length of the square.

$\begin{gathered} P=4a \\ 19=4a \\ a=\frac{19}{4} \\ =4.75 \end{gathered}$

Determine the length of diagonal by using the pythagors theorem.

$\begin{gathered} d^2=(4.75)^2+(4.75)^2 \\ d=\sqrt[]{22.5625+22.5625} \\ =\sqrt[]{45.125} \\ \approx6.72 \end{gathered}$

So length of diagonal is 6.72.