The diagonal of a square is x units. What is the area of the square in terms of x?
o 3x?square units
Ox?square units
2x square units
o £x square units

(√2)x/2 or (√2/2)x

Step-by-step explanation:

Let's draw two squares, one with diagonal length x and the other with diagonal length √2.  In the second case, the side length is 1, which you can confirm by recalling that 1^2 + 1^2 = 2*1^2 and √2*1^2 = √2.

These two squares are similar, even if they're of different sizes.

Writing an equation of ratios, we get:

  side length               1

=

          x                       √2

Then (side length)*√2 = x (after cross-multiplication)

and so (side length) = x/√2 or (√2)x/2 or (√2/2)x

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!