Math Problem Statement

A parallelogram has an area of 12 units and a base of 9 units. What is the matching height?

Solution

To find the height of a parallelogram, you can use the formula for the area of a parallelogram:

Area=Base×Height\text{Area} = \text{Base} \times \text{Height}

Given that the area is 12 square units and the base is 9 units, you can substitute these values into the formula:

12=9×Height12 = 9 \times \text{Height}

To solve for the height, divide both sides by 9:

Height=129=43 units\text{Height} = \frac{12}{9} = \frac{4}{3} \text{ units}

So, the height is 43\frac{4}{3} units.

Would you like further details or have any questions?

Here are some related questions you might find interesting:

  1. What is the formula for the area of a parallelogram when given two sides and an angle?
  2. How would the height change if the area were doubled but the base remained the same?
  3. Can the height of a parallelogram be longer than its base?
  4. What happens to the area if both the base and height are tripled?
  5. How do you find the height of a parallelogram if only the diagonals are known?

Tip: Always remember that the height in a parallelogram is the perpendicular distance from the base to the opposite side, not necessarily the side length.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Parallelogram
Linear Equations

Formulas

Area of parallelogram = Base * Height

Theorems

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Suitable Grade Level

Grades 6-8