Answer:
[tex]d=6\sqrt{2}\ ft[/tex]
Step-by-step explanation:
step 1
Find the length side of the square
we know that
The area of the square is given by the formula
[tex]A=b^2[/tex]
where
b is the length side of the square
we have
[tex]A=36\ ft^2[/tex]
substitute
[tex]36=b^2[/tex]
solve for b
[tex]b=6\ ft[/tex]
step 2
Find the diagonal length of the table top
Let
d ----> the diagonal length of the table top
Applying the Pythagorean Theorem
[tex]d^2=b^2+b^2[/tex]
substitute the value of b
[tex]d^2=6^2+6^2[/tex]
[tex]d^2=72[/tex]
[tex]d=6\sqrt{2}\ ft[/tex]
