Find the perimeter of the given shapes: a trapezoid, an L-shaped polygon, a right-angled triangle, and a…

Question

Find the perimeter of the given shapes: a trapezoid, an L-shaped polygon, a right-angled triangle, and a rectangle.

ScanSolve AI Tutor · Accepted Answer

To find the perimeter of each shape, we sum the lengths of all its sides.

1.

Identify the side lengths of the trapezoid.
The sides are $3 \text{ cm}$ , $2 \text{ cm}$ , $3 \text{ cm}$ , and $5 \text{ cm}$ .
Sum the side lengths to find the perimeter.
$\text{Perimeter} = 3 \text{ cm} + 2 \text{ cm} + 3 \text{ cm} + 5 \text{ cm} = 13 \text{ cm}$
The perimeter is $\boxed{\text{13 cm}}$ .

2.
Identify all side lengths of the L-shaped polygon.
The outer sides are $4 \text{ cm}$ , $2 \text{ cm}$ , $2 \text{ cm}$ , and $4 \text{ cm}$ .
The inner horizontal side is $4 \text{ cm} - 2 \text{ cm} = 2 \text{ cm}$ .
The inner vertical side is $4 \text{ cm} - 2 \text{ cm} = 2 \text{ cm}$ .
Sum all side lengths to find the perimeter.
$\text{Perimeter} = 4 \text{ cm} + 2 \text{ cm} + 2 \text{ cm} + 2 \text{ cm} + 2 \text{ cm} + 4 \text{ cm} = 16 \text{ cm}$
The perimeter is $\boxed{\text{16 cm}}$ .

3.
Identify the side lengths of the right-angled triangle.
The sides are $3 \text{ cm}$ , $4 \text{ cm}$ , and $5 \text{ cm}$ .
Sum the side lengths to find the perimeter.
$\text{Perimeter} = 3 \text{ cm} + 4 \text{ cm} + 5 \text{ cm} = 12 \text{ cm}$
The perimeter is $\boxed{\text{12 cm}}$ .

4.
Identify the side lengths of the rectangle.
The sides are $5 \text{ cm}$ , $2 \text{ cm}$ , $5 \text{ cm}$ , and $2 \text{ cm}$ .
Sum the side lengths to find the perimeter.
$\text{Perimeter} = 5 \text{ cm} + 2 \text{ cm} + 5 \text{ cm} + 2 \text{ cm} = 14 \text{ cm}$
The perimeter is $\boxed{\text{14 cm}}$ .

5.
Identify the side lengths of the quadrilateral.
The labeled sides are $3 \text{ cm}$ , $4 \text{ cm}$ , and $4 \text{ cm}$ . Based on the visual representation of a kite, the unlabeled side is $3 \text{ cm}$ .
Sum the side lengths to find the perimeter.
$\text{Perimeter} = 3 \text{ cm} + 4 \text{ cm} + 4 \text{ cm} + 3 \text{ cm} = 14 \text{ cm}$
The perimeter is $\boxed{\text{14 cm}}$ .

6.
Identify the side lengths of the triangle.
The sides are $3 \text{ cm}$ , $3 \text{ cm}$ , and $4 \text{ cm}$ .
Sum the side lengths to find the perimeter.
$\text{Perimeter} = 3 \text{ cm} + 3 \text{ cm} + 4 \text{ cm} = 10 \text{ cm}$
The perimeter is $\boxed{\text{10 cm}}$ .

7.
Identify the side lengths of the triangle.
The sides are $4 \text{ cm}$ , $4 \text{ cm}$ , and $4 \text{ cm}$ .
Sum the side lengths to find the perimeter.
$\text{Perimeter} = 4 \text{ cm} + 4 \text{ cm} + 4 \text{ cm} = 12 \text{ cm}$
The perimeter is $\boxed{\text{12 cm}}$ .

8.
Identify the side lengths of the parallelogram (rhombus).
All four sides are $2 \text{ cm}$ .
Sum the side lengths to find the perimeter.
$\text{Perimeter} = 2 \text{ cm} + 2 \text{ cm} + 2 \text{ cm} + 2 \text{ cm} = 8 \text{ cm}$
The perimeter is $\boxed{\text{8 cm}}$ .

Find the perimeter of the given shapes: a trapezoid, an L-shaped polygon, a right-angled triangle, and a rectangle.

Step-by-step solution

Identify the side lengths of the trapezoid.

Sum the side lengths to find the perimeter.

Identify all side lengths of the L-shaped polygon.

Sum all side lengths to find the perimeter.

Identify the side lengths of the right-angled triangle.

Sum the side lengths to find the perimeter.

Identify the side lengths of the rectangle.

Sum the side lengths to find the perimeter.

Identify the side lengths of the quadrilateral.

Sum the side lengths to find the perimeter.

Identify the side lengths of the triangle.

Sum the side lengths to find the perimeter.

Identify the side lengths of the triangle.

Sum the side lengths to find the perimeter.

Identify the side lengths of the parallelogram (rhombus).

Sum the side lengths to find the perimeter.

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