Area: Composite Figure Part 2

Area: Composite Figures (Part 2)
Name:___________________________
Period: __________
Show all work
Find the area of each shaded figure below. Use 3.14 for
1.
.
2.
7 ft
16 m
8 ft
3.
An empty parking lot is being converted into a park with a playground
area. The shape of the playground area is shown to the right. This
area will be converted with recycled rubber chips that cost $52.50 per
square meter to install. How much will it cost to install the rubber chips?
10 m
6m
10 m
4.
5.
Jensen wants to paint a wall in his house that has a window in the
shape of a triangle shown to the right. An 8 oz can of paint covers
50-75 square feet, a 12 oz can of paint covers 75-100 square feet,
and a 20 oz can of paint covers 100-150 square feet.
Which can of paint should Jensen buy?
7 ft
12 ft
6 ft
A hiker was last seen near a ranger station in the Green Mountains forests. Searchers are
send to the area to find the missing hiker.
Part A: Assume the hiker could walk in any direction at a rate of
4 miles per hour. How large an area would searchers
have to cover if the hiker was last seen 2 hours ago?
Part B: How much additional area would the searchers have to
cover if the hiker was last seen 3 hours ago?
10 ft
Spiral Review
Find the unknown measurements for each circle. Leave your answer in terms of
6.
Radius: 7 inches
7.
Radius: _________
8.
.
Radius: _________
Diameter: _________
Diameter: _________
Diameter: _________

Circumference: _________
Circumference: 24  feet
Circumference: _________

Area: _________
Area: _________
Area: 100  m2
9.
Chad built a custom bicycle in which the front tire has a diameter of 12 inches and the back tire has a
radius of 18 inches. How many rotations will the front tire complete for every rotation the back tire
completes?
10.
Part A: Find the measure of angle a.
Part B: Find the measure of angle b.
50°
a
b
Part C: Find the measure of angle c.
11.
c
The scale of the rectangular sandbox shown in the drawing is 2 cm : 9 ft.
Part A: Find the length and width of the actual sandbox.
6 cm
9 cm
12.
Megan is baking cupcakes. The number of cups of flour, f, she uses is proportional to the number of
3
cupcakes, c, she bakes. Megan uses 18 cups of flour to make 15 cupcakes. Write an equation that
4
represents this relationship.