Answer:
The length of the cardboard in inches is [tex]9\frac{41}{51}[/tex] inches
Step-by-step explanation:
The remaining part of the question which is an image is attached below.
Step-by-step explanation:
The area of a rectangle is given by
Area = Length × Width
Hence, to determine the length of the rectangular cardboard, we can write that
Length = Area/Width
That is dividing its area by its width (just as stated in the question)
Now, in the diagram shown in the attachment
Area = [tex]41\frac{2}{3}[/tex] square inches = [tex]\frac{125}{3}[/tex] square inches
width = [tex]4\frac{1}{4}[/tex] inches = [tex]\frac{17}{4}[/tex] inches
Since, the length is given by
[tex]Length = \frac{Area}{Width}[/tex]
Then,
[tex]Length = \frac{\frac{125}{3} }{\frac{17}{4} }[/tex]
[tex]Length = \frac{125}{3} \div \frac{17}{4}[/tex]
[tex]Length = \frac{125}{3} \times \frac{4}{17}[/tex]
[tex]Length = \frac{500}{51}[/tex]
∴ [tex]Length = 9\frac{41}{51}[/tex] inches
Hence, the length of the cardboard in inches is [tex]9\frac{41}{51}[/tex] inches
