Question

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 1

Answer:

Here, l is the length of the rectangle and w is the width of the rectangle

To Compare the values, you must calculate each given situation.

Area of a rectangle is equal to  length times width.

i.e, $A = l \times w$

(A)

if l = 8 units and w= 6 units,

then;

$A = l \times w$ = $8 \times 6 = 48 unit^2$

(B)

if l =7 units  and w = 7 units

$A = l \times w$ = $7 \times 7 = 49 unit^2$  

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.