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

Question

asked Dec 8, 2018 174k views

2 Answers

DotNET · Answer 1 · 2018-12-11T23:22:54+0000

Answer:

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.