Problem:
If the length of a diagonal of a square is , then the area of the square is:
Answer Choices:
A.
B.
C.
D.
E. none of these
Solution:
Let be the area of the square and be the length of the diagonal. The area of a square can be expressed in terms of its diagonal with the formula .
We are given that the diagonal is . Substituting this value into the area formula, we get: