a rectangular pan has a length that is $\frac{4}{3}$ the width. the total area of the pan is 432 in.$^{2}$…

a rectangular pan has a length that is $\frac{4}{3}$ the width. the total area of the pan is 432 in.$^{2}$. what is the width of the cake pan?\n$a = lw$\n10.4 in.\n13.9 in.\n18 in.\n24 in.

a rectangular pan has a length that is $\frac{4}{3}$ the width. the total area of the pan is 432 in.$^{2}$. what is the width of the cake pan?\n$a = lw$\n10.4 in.\n13.9 in.\n18 in.\n24 in.

Answer

Explanation:

Step1: Let the width be $w$.

The length $l=\frac{4}{3}w$.

Step2: Substitute into area formula.

Since $A = lw$ and $A = 432$, we have $432=\frac{4}{3}w\times w=\frac{4}{3}w^{2}$.

Step3: Solve for $w^{2}$.

Multiply both sides by $\frac{3}{4}$: $w^{2}=432\times\frac{3}{4}=324$.

Step4: Solve for $w$.

Take the square - root of both sides: $w=\sqrt{324}=18$ (we consider the positive value since width cannot be negative).

Answer:

C. 18 in.