The volume of the dresser can be calculated through the formula:
[tex]V=A_b\ast h[/tex]where Ab is the area of the base and h the height of the building, then, clear the equation for the area of the base,
[tex]A_b=\frac{V}{h}[/tex]Now replace with the given values,
[tex]\begin{gathered} A_b=\frac{42ft^3}{3ft} \\ A_b=14ft^2 \end{gathered}[/tex]Then, suppose the base is a rectangle, then the area's formula is:
[tex]A_b=l\ast w[/tex]give the length a value of 2 ft, and clear the formula for the missing measurement
[tex]\begin{gathered} 14ft^2=2ft\ast w \\ w=\frac{14ft^2}{2ft} \\ w=7ft \end{gathered}[/tex]Answer:
a. 14 ft²
b. length=2ft; width=7ft
c.