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

b. 11 units

Explanation:

Answer 2

`x=11`

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}=((a+b))/(2)* 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=(7+x)/(2)* 7`

`63=(7+x)*3.5`

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

`(63)/(3.5)=((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.