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

Answer:Here, l is the length of the rectangle and w is the width of the rectangleTo Compare the values, you must calculate each given situation. Area of a rectangle is equal to  length times width.i.e, [tex]A = l \times w[/tex](A) if l = 8 units and w= 6 units,then;[tex]A = l \times w[/tex] = [tex]8 \times 6 = 48 unit^2[/tex](B) if l =7 units  and w = 7 units[tex]A = l \times w[/tex] = [tex]7 \times 7 = 49 unit^2[/tex]  Therefore, the Part B would yield a larger area. If l -7 units and w = 7 units , the area of larger floor is 49 square units.