a section of a rectangle is shaded. the area of the shaded section is 63 square units. what is the value of…

Explanation:

Step1: Identify the shape of the shaded area

The shaded area is a rectangle with area formula $A = lw$ (where $A$ is area, $l$ is length and $w$ is width). Here, the width is 7 units and the length is $x$ units, and $A = 63$ square - units.

Step2: Set up the equation

Using the area formula $A=lw$, we substitute $A = 63$, $l=x$ and $w = 7$ into the equation: $63=7x$.

Step3: Solve for $x$

Divide both sides of the equation $63 = 7x$ by 7. We get $x=\frac{63}{7}=9$.

Answer:

9 units