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These sample problems below for Perimeter and Area of Composite Figures were generated by the MathScore.com engine.

Sample Problems For Perimeter and Area of Composite Figures

Complexity=2, Mode=align-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
 1 perimeter = area = 2 perimeter = area =

Complexity=3, Mode=align-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
 1 perimeter = area = 2 perimeter = area =

Complexity=2, Mode=jagged-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
 1 perimeter = area = 2 perimeter = area =

Complexity=3, Mode=jagged-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
 1 perimeter = area = 2 perimeter = area =

Complexity=2, Mode=align

Find the perimeter and area of each figure. Use labels.
All figures are made of rectangles.
 1 perimeter = area = 2 perimeter = area =

Complexity=3, Mode=align

Find the perimeter and area of each figure. Use labels.
All figures are made of rectangles.
 1 perimeter = area = 2 perimeter = area =

Complexity=2, Mode=align-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
1 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 2 cm + 2 cm + 3 cm + 6 cm + 5 cm + 4 cm = 22 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (2 cm * 4 cm) + (3 cm * 6 cm) = 26 sq cm
2 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 3 cm + 2 cm + 1 cm + 5 cm + 4 cm + 3 cm = 18 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (3 cm * 3 cm) + (1 cm * 5 cm) = 14 sq cm

Complexity=3, Mode=align-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
1 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 3 cm + 2 cm + 2 cm + 1 cm + 3 cm + 4 cm + 8 cm + 3 cm = 26 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (3 cm * 3 cm) + (2 cm * 5 cm) + (3 cm * 4 cm) = 31 sq cm
2 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 3 cm + 3 cm + 2 cm + 2 cm + 3 cm + 3 cm + 8 cm + 2 cm = 26 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (3 cm * 2 cm) + (2 cm * 5 cm) + (3 cm * 3 cm) = 25 sq cm

Complexity=2, Mode=jagged-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
1 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 2 cm + 1 cm + 1 cm + 2 cm + 1 cm + 1 cm + 2 cm + 2 cm = 12 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (2 cm * 2 cm) + (1 cm * 2 cm) = 6 sq cm
2 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 3 cm + 3 cm + 1 cm + 4 cm + 1 cm + 3 cm + 3 cm + 4 cm = 22 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (3 cm * 4 cm) + (1 cm * 4 cm) = 16 sq cm

Complexity=3, Mode=jagged-grid

Find the perimeter and area of each figure. Each unit is 1 cm. Label your answers in "cm".
For example, "6 cm" and "12 sq cm"
1 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 5 cm + 3 cm + 1 cm + 1 cm + 3 cm + 1 cm + 1 cm + 3 cm = 18 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (1 cm * 3 cm) + (3 cm * 2 cm) + (1 cm * 3 cm) = 12 sq cm
2 perimeter = area =
Solution
To get the perimeter, add up the lengths of all the sides.
Perimeter = 3 cm + 1 cm + 1 cm + 1 cm + 3 cm + 2 cm + 3 cm + 1 cm + 1 cm + 1 cm + 3 cm + 2 cm = 22 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (3 cm * 2 cm) + (1 cm * 2 cm) + (3 cm * 2 cm) = 14 sq cm

Complexity=2, Mode=align

Find the perimeter and area of each figure. Use labels.
All figures are made of rectangles.
1 perimeter = area =
Solution
First calculate the lengths of the missing sides.

To get the perimeter, add up the lengths of all the sides.
Perimeter = 2 cm + 2 cm + 2 cm + 5 cm + 4 cm + 3 cm = 18 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (2 cm * 3 cm) + (2 cm * 5 cm) = 16 sq cm
2 perimeter = area =
Solution
First calculate the lengths of the missing sides.

To get the perimeter, add up the lengths of all the sides.
Perimeter = 2 in + 1 in + 2 in + 5 in + 4 in + 4 in = 18 in

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (2 in * 4 in) + (2 in * 5 in) = 18 sq in

Complexity=3, Mode=align

Find the perimeter and area of each figure. Use labels.
All figures are made of rectangles.
1 perimeter = area =
Solution
First calculate the lengths of the missing sides.

To get the perimeter, add up the lengths of all the sides.
Perimeter = 3 in + 3 in + 2 in + 3 in + 2 in + 2 in + 7 in + 2 in = 24 in

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (3 in * 2 in) + (2 in * 5 in) + (2 in * 2 in) = 20 sq in
2 perimeter = area =
Solution
First calculate the lengths of the missing sides.

To get the perimeter, add up the lengths of all the sides.
Perimeter = 2 cm + 1 cm + 3 cm + 2 cm + 3 cm + 2 cm + 8 cm + 3 cm = 24 cm

Looking at this figure, you can see that the figure is made up of rectangles.
To get the figure's area, add up the areas of the smaller rectangles.
Area = (2 cm * 3 cm) + (3 cm * 4 cm) + (3 cm * 2 cm) = 24 sq cm

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