Calculate Parallelogram Area: 25cm Base with 13cm Height

Q: What's the difference between height and the slanted side?

The height is the perpendicular distance between the parallel sides, shown as a vertical line in the diagram. The slanted side is longer and at an angle - don't use it for area calculations!

Q: Why don't we need to know all four side lengths?

For parallelogram area, you only need the base and height. The formula $ \text{Area} = \text{Base} \times \text{Height} $ works regardless of the other dimensions!

Q: How do I know which side is the base?

Any side can be the base! Just make sure to use the perpendicular height to that chosen base. In this problem, AB = 25 cm is given as the base.

Q: What units should my answer have?

Since you're multiplying length × length, the area will be in square units. Here: 25 cm × 13 cm = 325 cm² (square centimeters).

Parallelogram Area with Base and Height

AB = 25 cm

The height of the rectangle is 13 cm.

Calculate the area of the parallelogram.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate the area of parallelogram ABCD

00:03 Opposite sides are equal in a parallelogram

00:15 We'll use the formula for calculating the area of a parallelogram

00:21 Side(CD) multiplied by height (H)

00:25 Let's substitute appropriate values and solve for the area

00:34 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

AB = 25 cm

The height of the rectangle is 13 cm.

Calculate the area of the parallelogram.

Step-by-step solution

To calculate the area of the parallelogram, we'll use the formula for the area, which is the product of the base and the height.

Identify the base and height from the information given: The base $AB$ is 25 cm and the height is 13 cm.
Apply the formula for the area: $\text{Area} = \text{Base} \times \text{Height}$ .
Substitute the given values into the formula: $\text{Area} = 25 \times 13$ .
Perform the multiplication: $\text{Area} = 325$ square centimeters.

Therefore, the area of the parallelogram is $325 \, \text{cm}^2$ .

This corresponds to choice 1: 325.

Final Answer

325

Key Points to Remember

Essential concepts to master this topic

Formula: Area equals base times height for parallelograms
Technique: Multiply 25 cm base by 13 cm height
Check: Answer should be 325 square cm with correct units ✓

Common Mistakes

Avoid these frequent errors

Using the slanted side instead of height
Don't measure the slanted side length instead of the perpendicular height = wrong area calculation! The slanted side is longer than the actual height. Always use the perpendicular distance between parallel sides as your height.

Practice Quiz

Test your knowledge with interactive questions

A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.

Calculate the area of the parallelogram.

FAQ

Everything you need to know about this question

What's the difference between height and the slanted side?

The height is the perpendicular distance between the parallel sides, shown as a vertical line in the diagram. The slanted side is longer and at an angle - don't use it for area calculations!

Why don't we need to know all four side lengths?

For parallelogram area, you only need the base and height. The formula $\text{Area} = \text{Base} \times \text{Height}$ works regardless of the other dimensions!

How do I know which side is the base?

Any side can be the base! Just make sure to use the perpendicular height to that chosen base. In this problem, AB = 25 cm is given as the base.

What units should my answer have?

Since you're multiplying length × length, the area will be in square units. Here: 25 cm × 13 cm = 325 cm² (square centimeters).

Is this formula the same for rectangles?

Yes! A rectangle is a special type of parallelogram where all angles are 90°. The formula $\text{Area} = \text{Base} \times \text{Height}$ works for both shapes.

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