Sample Problems For Perimeter and Area of Composite Figures

Complexity=2, Mode=align-grid

1.		perimeter = area =
2.		perimeter = area =

Complexity=3, Mode=align-grid

1.		perimeter = area =
2.		perimeter = area =

Complexity=2, Mode=jagged-grid

1.		perimeter = area =
2.		perimeter = area =

Complexity=3, Mode=jagged-grid

1.		perimeter = area =
2.		perimeter = area =

Complexity=2, Mode=align

1.		perimeter = area =
2.		perimeter = area =

Complexity=3, Mode=align

1.		perimeter = area =
2.		perimeter = area =

Answers

Complexity=2, Mode=align-grid

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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

#	Problem	Correct Answer	Your Answer
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