Question

A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x?

Answer 1

Answer:

$x=11$  

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.

$\text{Area of trapezoid}=\frac{(a+b)}{2}\times h$, 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,

$63=\frac{7+x}{2}\times 7$

$63=(7+x)*3.5$

Upon dividing both sides of our equation by 3.5 we will get,

$\frac{63}{3.5}=\frac{(7+x)*3.5}{3.5}$

$18=7+x$

Let us subtract 7 from both sides of our equation.

$18-7=7-7+x$

$11=x$

Therefore, the value of x is 11 units.