A rectangle has length in Y feet and width Z feet. What is its area in

This is a fairly simple question on area calculation. The area of a rectangle is the product of its length and width.

Therefore, area of the given rectangle = Y * Z. To find a unique value for this expression, we need the values of Y and Z.

From statement I alone, Z is the reciprocal of Y i.e. Z = \(\frac{1}{Y}\).

Therefore, area of the rectangle = Y * \(\frac{1}{Y}\) = 1 sq.feet. Statement I alone is sufficient to find a unique value of the area of the rectangle.
Answer options B, C and E can be eliminated. Possible answer options are A or D.

From statement II alone, the perimeter of the rectangle is 720 feet.

Perimeter of a rectangle = 2 ( Length + Width).

Therefore, perimeter of the given rectangle = 2 ( Y + Z ). We have been told that the perimeter is 720 feet. So, 2 ( Y + Z ) = 720, which simplifies to Y + Z = 360.
We have ONE linear equation with TWO unknowns without any additional conditions. Therefore, we cannot find unique values for Y and Z and hence for Y*Z. Statement II alone is insufficient.

Answer option D can be eliminated, the correct answer option is A.

Hope that helps!