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Answer:

Height of parallelogram = 5.07 inches

Step-by-step explanation:

We are given Area of Parallelogram = 32 in^2

Height of Parallelogram = ?

Base of Parallelogram = 6.3 in

The formula to find the Area of Parallelogram is:

Area of Parallelogram = Base * Height

32 = 6.3 * Height

=> Height = 32/6.3

=> Height = 5.07 inches

So, height of parallelogram = 5.07 inches

The missing variable for this parallelogram is the height, which is 5.08 inches.

Further explanation

We begin with the formula for the area of a parallelogram:

  • A = bh, where A represents the area, b represents the base and h represents the height.

We plug in all given information.  We know the area, 32 in², and we know the base, 6.3 in:

  • 32 = 6.3h

Next we solve for our variable, h.  Since 6.3 and h are beside each other, we know they have been multiplied.  To cancel this, we will divide both sides by 6.3:

  • [tex]\frac{32}{6.3} = \frac{6.3h}{6.3}\\ \\5.079=h\\\\5.08 \approx h[/tex]

This means that the missing variable, the height, is approximately 5.08 inches.

Learn more

1. Learn more about the area of parallelograms:  https://brainly.com/question/12600451

2. Learn more about finding missing measurements: https://brainly.com/question/12370902

3. Learn more about solving simple equations: https://brainly.in/question/6788771

Keywords: missing variables, missing measurements, area of parallelogram, missing side of parallelogram

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