Consider a rectangle where the length is represented by $L$ and the width by $W$. The area of the rectangle is given by the formula:
$$ A = L imes W $$
The perimeter of the rectangle is given by the formula:
$$ P = 2(L + W) $$
A designer wants to know whether the area of the rectangle exceeds 50 square units.
Statement (1): The length of the rectangle is 10 units.
Statement (2): The width of the rectangle is 6 units.