1. Perimeter and Area of Composite Figures

2. Composite Figure:
a figure that is made by combining triangles, quadrilaterals, semi-circles and other two-dimensional figures.

3. Perimeter: Is the distance around a figure
7 cm
5 cm
3 cm ?
7 cm
4 cm
P = 7 cm
+ 5 cm
+ 4 cm
+ 7 cm cm
P = cm
The perimeter of a circle has a special name,
It is called the ______________, and is found using
either of these formulas:
circumference

4. Alice needs to purchase 37 feet of border.
Alice is putting a wallpaper border around her bedroom. She
must find the __________ of her bedroom in order to
purchase the correct amount of border.
perimeter
12 ft
3 ft ?
4 ft
6.5 ft ?
3.5 ft
8 ft
P = 8 ft
+ 6.5 ft
+ 12 ft
+ 3 ft
+ 4 ft
+ 3.5 ft
Alice needs to purchase 37 feet of border.

5. The area of a composite figure can be found by adding or subtracting the areas of the simpler figures that compose the composite figure.
Area of Semi-Circle
+ Area of Rectangle
+ Area of Triangle

6. Joe has to mow the lawn of the field below, how many square yards must he mow?
14 yd
3 yd
10 yd
10 yd
6 yd
6 yd
8 yd
8 yd
Area of Semi-Circle
+ Area of Rectangle
+ Area of Triangle

7. Is there another way of finding this area?
Detective LeRue must investigate a crime committed at the local
park. How many square meters of ground must he cover when
looking for clues?
Total area = 28 m m m2
= 65 square meters
Is there another way of finding this area?
Area = 4 m (7 m)
Area = 4 m(4 m)
4 m
3 m
3 m
Area =3 m(7 m)
4 m
28 m2
7 m
21 m2
7 m
16 m2

8. How can we use subtraction to find the area?
Step 1: Find area of big rectangle
Step 2: Find area of smaller rectangle
Step 3: Subtract the smaller area from the larger area
Total area
= 77 m2 – 12 m2
= 65 square meters
How can we use subtraction to find the area?
11 m
4 m
4 m
3 m
3 m
Area
= 3 m(4 m)
4 m
7 m
7 m
Area =7 m (11 m)
=12 m2
= 77 m2

9. Detective LaRue must isolate the crime scene,
how much tape will he need?
Perimeter =
7m + 4 m + 3 m + 4 m + 3 m + 3 m + 7 m + 11 m
Detective LaRue needs 42 meters of crime scene tape.
4 m
3 m ?
3 m
4 m
7 m
7 m ?

10. Area = 74 cm2 Perimeter = 40 cm 1. Find the area and perimeter 6 cm

11. Area = 2300 in2 Perimeter = 240 in 2. Find the area and perimeter

12. Area = 30 yd2 Perimeter = 29 yd 3. Find the area and perimeter 3 yd

13. Area = 88.26 ft2 Perimeter = 38.84 ft 4. Find the area and perimeter.
Use 3.14 for π
Area = ft Perimeter = ft

14. Area = 212.75 km2 Perimeter = 69.7 km 5. Find the area and perimeter

15. 6. Find the area and perimeter
Area = 97.5 m2
Perimeter= 36 m
3 m
12.5 m
7.5 m
13 m

16. 7. Find the area of the arrow.
Area = 90 ft2

17. Area = 437.5 mm2 8. Find the Area of the Shaded Region.
Use 3.14 for π .
Area = mm2