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Nuetrik [128]
2 years ago
14

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

Mathematics
1 answer:
ella [17]2 years ago
5 0

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.

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