Calculate the area of the parallelogram based on the data in the figure:
Incorrect
Correct Answer:
It is not possible to calculate.
Question 2
A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.
Calculate the area of the parallelogram.
Incorrect
Correct Answer:
27
Question 3
Calculate the area of the parallelogram using the data in the figure:
Incorrect
Correct Answer:
35
Question 4
Calculate the area of the parallelogram using the data in the figure:
Incorrect
Correct Answer:
40
Question 5
Calculate the area of the parallelogram using the data in the figure:
Incorrect
Correct Answer:
36
Examples with solutions for Area of a Parallelogram
Exercise #1
Calculate the area of the parallelogram based on the data in the figure:
Video Solution
Step-by-Step Solution
In this particular problem, despite being given certain measurements, the diagram lacks sufficient clarity to identify which corresponds definitively as the base and which as the perpendicular height of the parallelogram. This insufficiency means that without further context or labeling to avoid assumptions that may lead to error, it is not feasible to calculate the area confidently using the standard formula.
Thus, the answer to the problem is that it is not possible to calculate the area with the provided data.
Answer
It is not possible to calculate.
Exercise #2
A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.
Calculate the area of the parallelogram.
Video Solution
Step-by-Step Solution
To solve this problem, let's apply the formula for the area of a parallelogram:
The formula for the area of a parallelogram is Area=base×height.
Here, the base of the parallelogram is 6 cm, and the height is 4.5 cm.
Substituting these values into the formula gives:
Area=6×4.5
Performing the multiplication:
Area=27 square centimeters.
Therefore, the area of the parallelogram is 27cm2.
Referring to the given multiple-choice answers, the correct choice is:
Choice 3: 27.
Answer
27
Exercise #3
Calculate the area of the parallelogram using the data in the figure:
Video Solution
Step-by-Step Solution
To solve this problem, we'll follow these steps:
Step 1: Identify the given information
Step 2: Apply the appropriate formula
Step 3: Perform the necessary calculations
Now, let's work through each step:
Step 1: The problem provides us with a base (b) of 7 units and a height (h) of 5 units, perpendicular to this base.
Step 2: We'll apply the formula for the area of a parallelogram, which is Area=b×h.
Step 3: Substituting the given values, Area=7×5=35.
Therefore, the area of the parallelogram is 35 square units.
Answer
35
Exercise #4
Calculate the area of the parallelogram using the data in the figure:
Video Solution
Step-by-Step Solution
To solve this problem, we'll follow these steps:
Step 1: Identify the base and height from the information provided.
Step 2: Apply the formula for the area of a parallelogram.
Step 3: Calculate the area by multiplying the base and height.
Now, let's work through each step:
Step 1: The base of the parallelogram is given as 8 units, and the height is given as 5 units.
Step 2: We use the formula for the area of a parallelogram: Area=base×height.
Step 3: Plugging in the given values, we calculate the area as follows: Area=8×5=40.
Therefore, the area of the parallelogram is 40 square units, which corresponds to choice 2.
Answer
40
Exercise #5
Calculate the area of the parallelogram using the data in the figure:
Video Solution
Step-by-Step Solution
To solve this problem, we must calculate the area of the given parallelogram using the formula:
Area=base×height
Assuming the figure (as described) provides a base of 9 units and a height of 4 units, we substitute these values into the formula:
Area=9×4=36 square units
The necessary calculations have been carried out using the correct dimensions, ensuring dimensional consistency and precise arithmetical methods. Therefore, the calculated area of the parallelogram is 36.
Given the multiple-choice options, the correct choice is the one specifying the area as 36, confirming the answer provided in choice 3.
Answer
36
Question 1
Calculate the area of the parallelogram using the data in the figure:
Incorrect
Correct Answer:
It is not possible to calculate.
Question 2
Calculate the area of the following parallelogram:
Incorrect
Correct Answer:
60 cm²
Question 3
AB = 15 cm
The height of the rectangle is 6 cm.
Calculate the area of the parallelogram.
Incorrect
Correct Answer:
90
Question 4
Calculate the area of the following parallelogram:
Incorrect
Correct Answer:
30 cm²
Question 5
AB = 10 cm
The height of the rectangle is 5 cm.
Calculate the area of the parallelogram.
Incorrect
Correct Answer:
50
Exercise #6
Calculate the area of the parallelogram using the data in the figure:
Video Solution
Step-by-Step Solution
From the given constraints, it is impossible to confidently compute the area of the parallelogram because of insufficient and unclear relationships between provided figures and the calculations they must produce. Clarity on which numbers correspond to the height and base—as or any definitional angles—is absent.
The correct answer, aligning with acknowledged drawing limitations, is: It is not possible to calculate.
Answer
It is not possible to calculate.
Exercise #7
Calculate the area of the following parallelogram:
Video Solution
Step-by-Step Solution
To calculate the area of the parallelogram, we will simply apply the formula for the area of a parallelogram:
Identify the base: The length of the base is 10cm.
Identify the height: The perpendicular height is given as 6cm.
Apply the formula: Area=base×height.
Substitute the known values: Area=10cm×6cm.
Calculate the result: Area=60cm2.
Therefore, the area of the parallelogram is 60cm2.
Answer
60 cm²
Exercise #8
AB = 15 cm
The height of the rectangle is 6 cm.
Calculate the area of the parallelogram.
Video Solution
Step-by-Step Solution
To solve this problem, we'll follow these steps:
Step 1: Identify the given base and height.
Step 2: Apply the formula for the area of a parallelogram.
Step 3: Calculate the area using the provided dimensions.
Now, let's work through each step:
Step 1: The base b is equal to the length AB, which is 15 cm. The height h corresponding to this base is 6 cm.
Step 2: We'll use the formula for the area of a parallelogram: Area=b×h.
Step 3: Plugging in our values, we have: Area=15×6=90cm2.
Therefore, the solution to the problem is Area=90cm2, which matches choice .
Answer
90
Exercise #9
Calculate the area of the following parallelogram:
Video Solution
Step-by-Step Solution
To solve the exercise, we need to remember the formula for the area of a parallelogram:
Side * Height perpendicular to the side
In the diagram, although it's not presented in the way we're familiar with, we are given the two essential pieces of information:
Side = 6
Height = 5
Let's now substitute these values into the formula and calculate to get the answer:
6 * 5 = 30
Answer
30 cm²
Exercise #10
AB = 10 cm
The height of the rectangle is 5 cm.
Calculate the area of the parallelogram.
Video Solution
Step-by-Step Solution
To solve this problem, we'll apply the formula for the area of a parallelogram:
Step 1: Identify the base and the height from the given information.
Step 2: Use the formula for the area of a parallelogram: A=base×height.
Step 3: Calculate the area using the given values.
Let's proceed with the solution:
Step 1: The given base AB is 10 cm, and the height is 5 cm.
Step 2: The formula for the area of a parallelogram is A=base×height.
Step 3: Substituting the provided values, we get: A=10cm×5cm A=50cm2
Therefore, the area of the parallelogram is 50cm2.
Answer
50
Question 1
AB = 32 cm
The height of the rectangle is 15 cm.
Calculate the area of the parallelogram.
Incorrect
Correct Answer:
480
Question 2
ABCD is a parallelogram.
AH is the height.
DC = 6 AH = 3
What is the area of the parallelogram?
Incorrect
Correct Answer:
18 cm²
Question 3
AB = 5 cm
The height of the rectangle is 2 cm.
Calculate the area of the parallelogram.
Incorrect
Correct Answer:
10
Question 4
ABCD is a parallelogram.
AH is its height.
Given in cm:
AB = 7
AH = 2
Calculate the area of the parallelogram.
Incorrect
Correct Answer:
14 cm².
Question 5
AB = 25 cm
The height of the rectangle is 13 cm.
Calculate the area of the parallelogram.
Incorrect
Correct Answer:
325
Exercise #11
AB = 32 cm
The height of the rectangle is 15 cm.
Calculate the area of the parallelogram.
Video Solution
Step-by-Step Solution
To calculate the area of the parallelogram, we'll use the standard area formula for a parallelogram:
Area=base×height
From the problem, the base AB=32cm and the height is 15cm.
Substituting these values into the formula gives:
Area=32×15
Perform the multiplication:
32×15=480
Thus, the area of the parallelogram is 480 cm2.
The correct answer is choice 4: 480.
Answer
480
Exercise #12
ABCD is a parallelogram.
AH is the height.
DC = 6 AH = 3
What is the area of the parallelogram?
Video Solution
Step-by-Step Solution
To solve this problem, let's apply the formula for the area of a parallelogram:
The given base DC is 6 cm.
The perpendicular height AH from point A to base DC is 3 cm.
The formula for the area of a parallelogram is:
Area=base×height
Substituting the given values, we have:
Area=6×3
Thus, the area of parallelogram ABCD is:
Area=18cm2
Therefore, the solution to the problem is 18cm2.
Answer
18 cm²
Exercise #13
AB = 5 cm
The height of the rectangle is 2 cm.
Calculate the area of the parallelogram.
Video Solution
Step-by-Step Solution
To find the area of the parallelogram, we will follow these steps:
Identify the base and the corresponding height.
Use the formula for the area of a parallelogram.
Perform the calculation to find the area.
Let's execute these steps:
Step 1: Identify the given measurements. The base AB=5cm, and the height corresponding to it is 2cm.
Step 2: Apply the formula for the area of a parallelogram, which is A=b×h.
Step 3: Substitute the known values into the formula: A=5cm×2cm=10cm2
Therefore, the area of the parallelogram is 10cm2.
Answer
10
Exercise #14
ABCD is a parallelogram.
AH is its height.
Given in cm:
AB = 7
AH = 2
Calculate the area of the parallelogram.
Video Solution
Step-by-Step Solution
To find the area of the parallelogram, we follow these steps:
Step 1: Identify the base and height.
Here, the base AB is 7cm and the perpendicular height AH is 2cm.
Step 2: Use the area formula for a parallelogram: Area=base×height
Step 3: Substitute the given values into the formula: Area=7×2=14cm2
Therefore, the area of the parallelogram is 14 cm2.
Answer
14 cm².
Exercise #15
AB = 25 cm
The height of the rectangle is 13 cm.
Calculate the area of the parallelogram.
Video Solution
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: Area=Base×Height.
Substitute the given values into the formula: Area=25×13.
Perform the multiplication: Area=325 square centimeters.
Therefore, the area of the parallelogram is 325cm2.