Perimeter of a Trapezoid: Applying the formula

To solve this problem, we'll calculate the perimeter of the trapezoid by summing the lengths of all its sides. The steps are as follows:

• List the lengths of the sides: the bases are $10$ and $12$, and the two non-parallel sides are each $7$.
• Apply the perimeter formula for a trapezoid: $P = a + b + c + d$.
• Substitute the given values into the formula: $P = 10 + 12 + 7 + 7$.
• Calculate the sum: $P = 10 + 12 + 7 + 7 = 36$.

Therefore, the perimeter of the trapezoid is $36$.

This matches the correct answer choice from the provided options.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given side lengths of the trapezoid.
• Step 2: Use the perimeter formula for a trapezoid, which is the sum of the lengths of its sides.
• Step 3: Perform the necessary addition to compute the perimeter.

Now, let's work through each step:
Step 1: The trapezoid has side lengths of $9$, $5$, $12$, and $4$.
Step 2: The formula for the perimeter $P$ of a trapezoid is:
$P = \text{side}_1 + \text{side}_2 + \text{side}_3 + \text{side}_4$
Step 3: Plugging in the values, we compute:
$P = 9 + 5 + 12 + 4$
Step 4: Calculating the sum:
$P = 30$

Therefore, the perimeter of the trapezoid is $30$.

To solve this problem, we'll calculate the perimeter of the trapezoid by summing the lengths of its sides:

• Step 1: Identify the side lengths of the trapezoid:
  Top side $= 10$, Bottom side $= 5$, Left side $= 10$, Right side $= 11$.
• Step 2: Apply the perimeter formula:
  The formula for the perimeter $P$ of a trapezoid is $P = a + b + c + d$.
• Step 3: Perform the calculations:
  Substitute the given lengths into the formula:
  $P = 10 + 5 + 10 + 11 = 36$.

Therefore, the perimeter of the trapezoid is $36$.

To solve this problem, we'll follow these steps:

• Identify the given side lengths of the trapezoid.
• Apply the formula for the perimeter of a trapezoid.
• Perform the addition of all side lengths to calculate the perimeter.

Let's work through each step:

Step 1: Identify the given side lengths. The trapezoid has:

• Top base: $a = 16$
• Bottom base: $b = 1$
• Non-parallel side: $c = 15$
• Other non-parallel side: $d = 16$

Step 2: We'll use the formula for the perimeter of a trapezoid:

$P = a + b + c + d$

Step 3: Plug in the values and perform the calculation:

$P = 16 + 1 + 15 + 16$

$P = 48$

Therefore, the perimeter of the trapezoid is $48$.

To solve this problem, we'll follow these steps:

• Step 1: Gather the given side lengths of quadrilateral ABCD.

• Step 2: Since it's necessary to understand summation, add all lengths.

• Step 3: Conclude from sum.

Now, let's work through each step:

Step 1: The problem provides:
$\begin{aligned} AB &= 10.5, \\ CD &= 13, \\ AC &= 7.5, \\ BD &= 7.5. \end{aligned}$

Step 2: Add them together:
$\begin{aligned} \text{Perimeter} &= AB + CD + AC + BD \\ &= 10.5 + 13 + 7.5 + 7.5. \end{aligned}$

Step 3: Calculate: $\begin{aligned} \text{Perimeter} &= 10.5 + 13 + 7.5 + 7.5 = 38.5. \end{aligned}$

Therefore, the solution is that the perimeter of quadrilateral ABCD is $38.5$ .

To solve this problem, we'll follow these steps:

• Step 1: Identify the given measurements for the sides.

• Step 2: Use the perimeter formula for a trapezoid, which is summing all sides.

• Step 3: Add the values to get the perimeter.

Now, let's work through each step:

Step 1: The problem gives us four sides to consider. These sides are: $AB = 5$, $CD = 7$, $AC = 4$, and $BD = 4$.

Step 2: The perimeter of a trapezoid or any quadrilateral is simply the sum of all four sides. Hence, we need to add $AB$, $CD$, $AC$, and $BD$.

Step 3: Adding the values, we calculate the perimeter:$AB + CD + AC + BD = 5 + 7 + 4 + 4 = 20$.

Therefore, the perimeter of the given shape is $20$.

To solve this problem, we'll follow these steps:

• Step 1: Identify all given side lengths of the trapezoid.
• Step 2: Apply the formula for the perimeter of the trapezoid.
• Step 3: Sum up the lengths to find the perimeter.

Now, let's work through each step:
Step 1: The problem gives us the lengths of the trapezoid's sides:
- $AB = 2.5$
- $BC = 10.4$
- $CD = 5.3$
- $DA = 6$

Step 2: We use the formula for the perimeter of a trapezoid:

$P = AB + BC + CD + DA$

Step 3: Plugging in the given values, we calculate:

$P = 2.5 + 10.4 + 5.3 + 6$

Calculating further, we have:

$P = 24.2$

Therefore, the perimeter of the trapezoid is $24.2$.

To find the perimeter we will add all the sides:

$4+5+9+6=9+9+6=18+6=24$

To find the perimeter of the trapezoid, we will sum the lengths of all its sides. The given side lengths are:

• Base 1: $7.5$
• Base 2: $1.5$
• Leg 1: $3$
• Leg 2: $4$

Using the formula for the perimeter $P$ of the trapezoid, we have:

$P = a + b + c + d$

Substituting in the given values:

$P = 7.5 + 1.5 + 3 + 4$

Performing the addition:

$P = 7.5 + 1.5 = 9$

$P = 9 + 3 = 12$

$P = 12 + 4 = 16$

Therefore, the perimeter of the trapezoid is $16$.

The problem requires calculating the perimeter of the trapezoid by summing the lengths of its sides. Based on the given trapezoid diagram, the side lengths are clearly marked as follows:

• First side: $4$
• Second side: $9$
• Third side: $6$
• Fourth side: $13$

According to the formula for the perimeter of a trapezoid:

$P = a + b + c + d$

Substituting the respective values:

$P = 4 + 9 + 6 + 13$

Calculating the sum, we find:

$P = 32$

Thus, the perimeter of the trapezoid is $32$.

In order to calculate the perimeter of the trapezoid we must add together the measurements of all of its sides:

7+10+7+12 =

36

And that's the solution!

Since this is an isosceles trapezoid, and the two legs are equal, we can state that:

$AB=CD=6$

Now let's add all the sides together to find the perimeter

$6+6+10+12=$

$12+22=34$

To calculate the perimeter of the isosceles trapezoid, we follow these steps:

• Identify the lengths of all the sides.
• Sum these lengths to find the perimeter.

Now, let's apply these steps:
Step 1: The given lengths of the trapezoid are:
- Base 1 = $10$,
- Base 2 = $12$,
- Each leg = $6$.

Step 2: Using the perimeter formula $P = a + b + c + d$, we get:
$P = 10 + 12 + 6 + 6$.

Step 3: Adding these values, we find:
$P = 34$.

Therefore, the perimeter of the isosceles trapezoid is $34$.

To solve this problem, we'll express the perimeter of the trapezoid by summing up its side lengths:

• Step 1: Identify the given side lengths.

• Step 2: Apply the perimeter formula for the trapezoid.

• Step 3: Simplify the resulting expression.

Let's work through these steps:

Step 1: The trapezoid has the following side lengths:
- Top base: $5X$
- Left side: $3X$
- Bottom base: $Z$
- Right side: $3Y$

Step 2: Apply the perimeter formula:
The perimeter $P$ is given by the sum of all sides:
\begin{equation} $P = 5X + 3X + Z + 3Y$

Step 3: Simplify the expression:
Combine like terms:
$P = (5X + 3X) + Z + 3Y = 8X + 3Y + Z$

Therefore, the perimeter of the trapezoid is expressed as $8X + 3Y + Z$.

First, we calculate the long base from the existing data:

Multiply the short base by 1.5:

$5\times1.5=7.5$

Now we will add up all the sides to find the perimeter:

$2+5+3+7.5=7+3+7.5=10+7.5=17.5$

To find the perimeter of the isosceles trapezoid, consider the following steps:

• Step 1: Identify the given side lengths: The top base of the trapezoid is $3$, each of the slanted sides is $5$, and the bottom base is $7$.
• Step 2: Apply the perimeter formula: The perimeter $P$ is the sum of all side lengths: $P = 3 + 5 + 5 + 7$.
• Step 3: Perform the calculation: Add the side lengths together:
  $3 + 5 + 5 + 7 = 20$

Therefore, the perimeter of the isosceles trapezoid is $20$.

To solve this problem, we'll use the perimeter formula for a trapezoid, which is straightforward since all side lengths are provided:

• Step 1: Identify the side lengths:
  Top base ($a$): $12.28$ units
  Bottom base ($b$): $17.5$ units
  Left non-parallel side ($c$): $5.1$ units
  Right non-parallel side ($d$): $6$ units
• Step 2: Apply the formula for the perimeter, which states:
  $P = a + b + c + d$
• Step 3: Substitute the known values into the formula:
  $P = 12.28 + 17.5 + 5.1 + 6$
• Step 4: Perform the addition:

Calculating the sum:

$12.28 + 17.5 = 29.78$

$29.78 + 5.1 = 34.88$

$34.88 + 6 = 40.88$

Hence, the perimeter of the trapezoid is $40.88$ units.

To solve this problem, we'll apply the straightforward approach of summing up the lengths of all four sides of the trapezoid to determine its perimeter:

• Step 1: Identify the side lengths: the top base is $6$, the bottom base is $14.52$, the left side is $4.1$, and the right side is $9.87$.
• Step 2: Apply the perimeter formula for the trapezoid: $P = a + b + c + d$, where $a = 6$, $b = 14.52$, $c = 4.1$, and $d = 9.87$.
• Step 3: Add the side lengths: $P = 6 + 14.52 + 4.1 + 9.87$.

Now, performing the calculation:

Therefore, the perimeter of the trapezoid is $34.49$.

To calculate the perimeter, we add up all the sides:

$10+x+(6+x)+(x+1)$

Now, given that x equals 3, we substitute in the appropriate places:

$10+3+(6+3)+(3+1)=$

$10+3+9+4=$

$13+13=26$

To solve this problem, we'll follow these steps:

• Step 1: Identify the given side and calculate 30% longer than this side.

• Step 2: Calculate the length of the missing side.

• Step 3: Sum up all the sides to determine the perimeter.

Now, let's work through each step:
Step 1: Given side whose 30% is to be added is 10.
Step 2: Calculate 30% of 10:
$\text{30\% of 10} = 0.30 \times 10 = 3$
Add this to the given side to get the missing side:
$\text{Length of missing side} = 10 + 3 = 13$

Step 3: The trapezoid now has the following sides: 8, 10, 15, and 13.
Calculate the perimeter by adding the sides:
$\text{Perimeter} = 8 + 10 + 15 + 13 = 46$

Therefore, the perimeter of the trapezoid is $46$.