Nathan is building a toolshed with a rectangular floor. the area of a rectangle is given by the formula l⋅w l⋅w , where l represents the length, and w represents the width. the floor of the shed will have measurements of either l=8 l=8 and w=6 w=6 or l=7 l=7 and w=7 w=7 . what is the area of the larger floor?

To compare the values,you must first calculate each given situation. The area of any given rectangle is length times width.

a) if w=6 and l=8
   A= l*w = 8*6 = 48

b) if w=7 and l=7
  A= l*w = 7*7 = 49

Therefore, the second case would yield a larger area. The answer would be w=7 and l=7. Total area would be 49 square units.