Answer:
Let width = w
length = 4w/3
Area = 432 = length*width = w*4w/3
4w^2/3 = 432
w^2 = 432*3/4 = 324
w = 18
so the width of the cake pan is 18 inches.
The width of the rectangular pan is 18 inches and this can be determined by using the formula of the area of the rectangle.
Given :
A rectangular pan has a length that is 4/3 the width.
The total area of the pan is 432 square inches.
The following steps can be used in order to determine the width of the cake pan:
Step 1 - The formula of the area of the rectangle can be used in order to determine the width of the cake pan.
Step 2 - The area of a rectangle is given below:
[tex]\rm A = LW[/tex]
where L is the length and W is the width of the rectangle.
Step 3 - According to the given data, the length is 4/3 the width.
Step 4 - Substitute the values of the known terms in the above expression.
[tex]\rm 432 = w\times \dfrac{4w}{3}[/tex]
Step 5 - Simplify the above expression.
[tex]\rm 432 = \dfrac{4w^2}{3}[/tex]
[tex]\rm w^2 = 324[/tex]
w = 18 inches
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/14383947
