We use the formula (base+base) multiplied by the height and divided by 2.
Note that we are only provided with one base and it is not possible to determine the size of the other base.
Therefore, the area cannot be calculated.
Answer
Cannot be calculated.
Exercise #2
Calculate the area of the trapezoid.
Video Solution
Step-by-Step Solution
To find the area of the trapezoid, we would ideally use the formula:
A=21×(b1+b2)×h
where b1 and b2 are the lengths of the two parallel sides and h is the height. However, the given information is incomplete for these purposes.
The numbers provided (6, 7, 12, and 5) do not clearly designate which are the bases and what is the height. Without this information, the dimensions cannot be definitively identified, making it impossible to calculate the area accurately.
Thus, the problem, based on the given diagram and information, cannot be solved for the area of the trapezoid.
Therefore, the correct answer is: It cannot be calculated.
Answer
It cannot be calculated.
Exercise #3
Calculate the area of the trapezoid.
Video Solution
Step-by-Step Solution
To solve this problem, we'll calculate the area of the trapezoid using the standard formula:
Step 1: Identify the given dimensions:
Shorter base b1=5.
Longer base b2=8.
Height h=3.
Step 2: We apply the trapezoid area formula, which is:
A=21×(b1+b2)×h.
Step 3: Substitute the given values into the formula:
A=21×(5+8)×3.
Step 4: Perform the calculations:
A=21×13×3.
A=21×39.
A=19.5 or 1921.
The area of the trapezoid is 1921.
Answer
19 1/2
Exercise #4
What is the area of the trapezoid ABCD?
Video Solution
Step-by-Step Solution
To solve this problem, we'll follow these steps:
Identify the given measurements: the lengths of the parallel sides (bases) and the height.
Use the trapezoid area formula to calculate the area.
Perform the necessary arithmetic to find the numerical answer.
Now, let's work through each step:
Step 1: The given measurements are Base1=9, Base2=12, and the height = 5.
Step 2: The formula for the area of a trapezoid is Area=21×(Base1+Base2)×Height.
Step 3: Substituting the numbers into the formula, we have: Area=21×(9+12)×5
Calculating inside the parentheses first: 9+12=21
Then multiply by the height: 21×5=105
Finally, multiply by one-half: 21×105=52.5
Therefore, the area of trapezoid ABCD is 52.5.
Answer
52.5
Exercise #5
The trapezoid ABCD is shown below.
The height of ABCD is 6 cm.
The base BC is equal to 4 cm.
The base AD is equal to 8 cm.
Calculate the area of trapezoid ABCD.
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 gives us the height of the trapezoid as 6cm, base BC as 4cm and base AD as 8cm.
Step 2: We'll use the formula for the area of a trapezoid:
A=21×(base1+base2)×height
Step 3: Substituting the given values into the formula:
A=21×(4+8)×6
Calculating further,
A=21×12×6
A=21×72
A=36cm2
Therefore, the area of the trapezoid ABCD is 36cm2.
Answer
36
Question 1
Given the trapezoid:
What is the area?
Incorrect
Correct Answer:
52.5
Question 2
What is the area of the trapezoid in the diagram below?
Incorrect
Correct Answer:
\( 16.5 \) cm²
Question 3
What is the area of the trapezoid in the diagram?
Incorrect
Correct Answer:
\( 52.5 \) cm²
Question 4
What is the area of the trapezoid in the figure?
Incorrect
Correct Answer:
\( 22 \) cm².
Question 5
What is the area of the trapezoid in the figure?
Incorrect
Correct Answer:
\( 36 \) cm².
Exercise #6
Given the trapezoid:
What is the area?
Video Solution
Step-by-Step Solution
Formula for the area of a trapezoid:
2(base+base)×altura
We substitute the data into the formula and solve:
29+12×5=221×5=2105=52.5
Answer
52.5
Exercise #7
What is the area of the trapezoid in the diagram below?
Video Solution
Step-by-Step Solution
To determine the area of the trapezoid, we will follow these steps:
Step 1: Identify the provided dimensions of the trapezoid.
Step 2: Apply the formula for the area of a trapezoid.
Step 3: Perform the arithmetic to calculate the area.
Let's proceed through these steps:
Step 1: Identify the dimensions
The given dimensions from the diagram are:
Height h=3 cm.
One base b1=4 cm.
The other base b2=7 cm.
Step 2: Apply the area formula
To find the area A of the trapezoid, use the formula: A=21×(b1+b2)×h
Step 3: Calculation
Substituting the known values into the formula: A=21×(4+7)×3
Simplify the expression: A=21×11×3
Calculate the result: A=21×33=233=16.5 cm²
The area of the trapezoid is therefore 16.5 cm².
Given the choices, this corresponds to choice : 16.5 cm².
Therefore, the correct solution to the problem is 16.5 cm².
Answer
16.5 cm²
Exercise #8
What is the area of the trapezoid in the diagram?
Video Solution
Step-by-Step Solution
To find the area of the trapezoid, we will follow these steps:
Step 1: Identify the given dimensions of the trapezoid.
Step 2: Apply the area formula for a trapezoid using these dimensions.
Step 3: Perform the calculation to determine the area.
Let's work through each step more clearly:
Step 1: From the problem, we identify that the trapezoid has one base b1=13 units, another base b2=8 units, and its height h=5 units.
Step 2: The formula for the area of a trapezoid is:
A=21×(b1+b2)×h
Step 3: Substitute the values into the formula:
A=21×(13+8)×5
A=21×21×5
A=21×105
A=52.5units2
Therefore, the area of the trapezoid is 52.5units2.
Answer
52.5 cm²
Exercise #9
What is the area of the trapezoid in the figure?
Video Solution
Step-by-Step Solution
We use the following formula to calculate the area of a trapezoid: (base+base) multiplied by the height divided by 2:
2(AB+DC)×BE
2(7+15)×2=222×2=244=22
Answer
22 cm².
Exercise #10
What is the area of the trapezoid in the figure?
Video Solution
Step-by-Step Solution
To solve this problem, we'll follow these steps:
Step 1: Identify the given information relevant to the trapezoid.
Step 2: Apply the appropriate formula for the area of a trapezoid.
Step 3: Perform the necessary calculations to find the area.
Now, let's work through each step:
Step 1: The problem gives us two bases, b1=6 cm and b2=12 cm, and a height h=4 cm.
Step 2: We'll use the formula for the area of a trapezoid:
A=21⋅(b1+b2)⋅h
Step 3: Substituting in the given values:
A=21⋅(6+12)⋅4=21⋅18⋅4=272=36 cm2
Therefore, the solution to the problem is 36 cm².
Answer
36 cm².
Question 1
What is the area of the trapezoid in the figure?
Incorrect
Correct Answer:
\( 33 \) cm².
Question 2
The trapezoid ABCD is shown below.
Base AB = 6 cm
Base DC = 10 cm
Height (h) = 5 cm
Calculate the area of the trapezoid.
Incorrect
Correct Answer:
40 cm²
Question 3
The trapezoid ABCD is shown below.
AB = 2.5 cm
DC = 4 cm
Height (h) = 6 cm
Calculate the area of the trapezoid.
Incorrect
Correct Answer:
\( 19\frac{1}{2} \)
Question 4
The trapezoid ABCD is shown below.
AB = 5 cm
DC = 9 cm
Height (h) = 7 cm
Calculate the area of the trapezoid.
Incorrect
Correct Answer:
49 cm
Question 5
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
Incorrect
Correct Answer:
26
Exercise #11
What is the area of the trapezoid in the figure?
Video Solution
Step-by-Step Solution
To solve this problem, we'll compute the area of the trapezoid using the given dimensions and the area formula:
Step 1: Identify the given dimensions:
Base b1=10 cm
Base b2=6.5 cm
Height h=4 cm
Step 2: Use the trapezoid area formula:
The formula for the area of a trapezoid is A=21(b1+b2)h.
Step 3: Substitute the given values into the formula:
A=21(10+6.5)×4
Step 4: Calculate the area:
First, calculate the sum of the bases: 10+6.5=16.5.
Next, multiply by the height: 16.5×4=66.
Finally, divide by 2 to get the area: 266=33 cm².
Therefore, the area of the trapezoid is 33 cm².
Answer
33 cm².
Exercise #12
The trapezoid ABCD is shown below.
Base AB = 6 cm
Base DC = 10 cm
Height (h) = 5 cm
Calculate the area of the trapezoid.
Video Solution
Step-by-Step Solution
First, we need to remind ourselves of how to work out the area of a trapezoid:
Now let's substitute the given data into the formula:
(10+6)*5 = 2
Let's start with the upper part of the equation:
16*5 = 80
80/2 = 40
Answer
40 cm²
Exercise #13
The trapezoid ABCD is shown below.
AB = 2.5 cm
DC = 4 cm
Height (h) = 6 cm
Calculate the area of the trapezoid.
Video Solution
Step-by-Step Solution
First, let's remind ourselves of the formula for the area of a trapezoid:
A=2(Base+ Base) h
We substitute the given values into the formula:
(2.5+4)*6 = 6.5*6= 39/2 = 19.5
Answer
1921
Exercise #14
The trapezoid ABCD is shown below.
AB = 5 cm
DC = 9 cm
Height (h) = 7 cm
Calculate the area of the trapezoid.
Video Solution
Step-by-Step Solution
The formula for the area of a trapezoid is:
Area=21×(Base1+Base2)×Height
We are given the following dimensions:
Base AB=5 cm
Base DC=9 cm
Height h=7 cm
Substituting these values into the formula, we have:
Area=21×(5+9)×7
First, add the lengths of the bases:
5+9=14
Now substitute back into the formula:
Area=21×14×7
Calculate the multiplication:
21×14=7
Then multiply by the height:
7×7=49
Thus, the area of the trapezoid is 49 cm2.
Answer
49 cm
Exercise #15
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
Video Solution
Step-by-Step Solution
To solve this problem, we follow these steps:
Step 1: Identify the given dimensions of the trapezoid.
Step 2: Use the formula for the area of a trapezoid.
Step 3: Substitute the given values into the formula and calculate the area.
Now, let's work through these steps:
Step 1: We know from the problem that trapezoid ABCD has bases AB=5 and CD=8, with a height of AD=4.
Step 2: The formula for the area of a trapezoid is: A=21×(b1+b2)×h
Step 3: Plugging in the values: A=21×(5+8)×4=21×13×4=252=26