How do we calculate the perimeter of polygons?

First we need to remember that pairs of opposite sides in a parallelogram are parallel and equal.

Therefore, AB is parallel to CD and BC is parallel to AD.

From this we can conclude that AB = CD = 7.

Also: BC = AD = 12.

Finally we can calculate the perimeter by adding all the sides together:

$7+7+12+12=14+24=38$

To find the perimeter of triangle $\triangle ABC$, we need to sum the lengths of its sides:

• Side $AB = 3$
• Side $BC = 4$
• Side $CA = 5$

Using the formula for the perimeter of a triangle:

$\text{Perimeter} = AB + BC + CA$

Substitute the known values:

$\text{Perimeter} = 3 + 4 + 5$

$\text{Perimeter} = 12$

Thus, the perimeter of triangle $\triangle ABC$ is $\mathbf{12}$.

From the multiple-choice options provided, the correct choice is option 1: 12.

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 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 $48$.