Answer:
[tex]x=11[/tex]
Step-by-step explanation:
We have been given a graph of a rectangle. The area of the shaded section is 63 square units. We are asked to find the value of x.
We can see from our given graph that shaded section forms a trapezoid, so we will use area of trapezoid formula to find the value of x.
[tex]\text{Area of trapezoid}=\frac{(a+b)}{2}\times h[/tex], where, a and b represents the parallel sides of trapezoid and h represents height of trapezoid.
Upon substituting our given values in above formula we will get,
[tex]63=\frac{7+x}{2}\times 7[/tex]
[tex]63=(7+x)*3.5[/tex]
Upon dividing both sides of our equation by 3.5 we will get,
[tex]\frac{63}{3.5}=\frac{(7+x)*3.5}{3.5}[/tex]
[tex]18=7+x[/tex]
Let us subtract 7 from both sides of our equation.
[tex]18-7=7-7+x[/tex]
[tex]11=x[/tex]
Therefore, the value of x is 11 units.
