Question

A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?

Answer 1

Answer:

The length of the cardboard in inches is $9\frac{41}{51}$ 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 = $41\frac{2}{3}$ square inches = $\frac{125}{3}$ square inches

width = $4\frac{1}{4}$ inches = $\frac{17}{4}$ inches

Since, the length is given by

$Length = \frac{Area}{Width}$

Then,

$Length = \frac{\frac{125}{3} }{\frac{17}{4} }$

$Length = \frac{125}{3} \div \frac{17}{4}$

$Length = \frac{125}{3} \times \frac{4}{17}$

$Length = \frac{500}{51}$

∴ $Length = 9\frac{41}{51}$ inches

Hence, the length of the cardboard in inches is $9\frac{41}{51}$ inches