Question

solve for the width in the formula for the area of a rectangle.
use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches

Explanation:

Step1: Recall rectangle area formula

The area of a rectangle is given by $A = l \times w$, where $A$ is area, $l$ is length, $w$ is width.

Step2: Isolate width variable

Rearrange the formula to solve for $w$:
$$w = \frac{A}{l}$$

Step3: Substitute given values

Plug in $A = 42$ and $l = 16.8$:
$$w = \frac{42}{16.8}$$

Step4: Calculate the width

Perform the division:
$$w = 2.5$$

Answer:

Rearranged formula for width: $\boldsymbol{w = \frac{A}{l}}$
Width of the rectangle: $\boldsymbol{2.5}$ inches