QuestionFind the length $l$ of a rectangle with area $25 \mathrm{in}^2$ and width $w = 10 \mathrm{in}$ . Use $A = l w$ .

Studdy Solution

STEP 1

Assumptions1. The area of the rectangle is25 square inches. . The formula for the area of a rectangle is $A = lw$ , where $l$ is the length and $w$ is the width.
3. The width $w$ of the rectangle is10 inches.

STEP 2

We can find the length $l$ by rearranging the formula for the area of a rectangle. We want to isolate $l$ on one side of the equation.
$l = \frac{A}{w}$

STEP 3

Now, plug in the given values for the area $A$ and the width $w$ to calculate the length $l$ .
$l = \frac{25\, in^{2}}{10\, in}$

STEP 4

Calculate the length $l$ .
$l = \frac{25\, in^{2}}{10\, in} =2.\, in$ The length of the rectangle is2. inches.

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