Answer :

To find the width of a rectangle given its length and area, we can use the formula for the area of a rectangle:

[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]

In this problem, we are given the area and the length and need to find the width. We can rearrange the formula to solve for the width:

[tex]\[ \text{Width} = \frac{\text{Area}}{\text{Length}} \][/tex]

Now, let's plug in the given values:

- The length ([tex]\(L\)[/tex]) of the rectangle is 10 inches.
- The area ([tex]\(A\)[/tex]) of the rectangle is 25.5 square inches.

So,

[tex]\[ \text{Width} = \frac{25.5 \, \text{in}^2}{10 \, \text{in}} \][/tex]

Perform the division:

[tex]\[ \text{Width} = 2.55 \, \text{in} \][/tex]

Therefore, the width of the rectangle is 2.55 inches.

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