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Geometry
11.1 & 11.2 Worksheet
Name_______________________
Hour ____
Show all work including area formulas used.
Find the area of the shaded region.
1.
6 cm
2.
57cm
68cm
37cm
72cm
5 cm
14 cm
62cm
34cm
28cm
101cm
3. Hint: Think Pyth. Thm.
4. Hint: Think SohCahToa
5.
6.
7. Find the area of trapezoid CEFG.
D
A ABCG  52cm2
5 cm
C
B
A
8 cm
ACDE  17.5cm2
E
G
15.5 cm
F
8. Beth plans to have her recreation room retiled with Deluxe Tiles. The first 10 cartons cost
$32.95 each and each additional carton costs $29.95. A carton covers 45 ft2. Find the cost
of the tiles.
38 ft
18 ft
22 ft
20 ft
9. Find the length of the base of the figure described.
a. Trapezoid:
The height is 10 ft. One base is 4 ft longer than the other base.
The area is 12 ft2.
b. Triangle
The base is twice as long as the height.
The area is 42 in2.
c. Square
The area is 72 cm2.
10. You are mowing lawns to make extra money over
the summer. A local company hires you to mow
their front lawn which is in the shape of a trapezoid.
The lengths of the bases of the lawn are 60 ft and
80 ft. The height is 30 ft. You charge $.02 per square
foot. How much will you earn from mowing this lawn?
11. Your neighbor recently put a new garden in their
rectangular yard. The yard has a length of 45 ft
and a width of 30 ft. The garden is in the shape
of a rhombus. The diagonals of the rhombus are
25 ft and 18 ft long. Find the area of the lawn
remaining after the garden was installed.
12. You are in charge of designing a sign to advertise
for a pastry company. The sign will be shaped to
resemble a pie. The template diagram is given at
the right. Find the area of the sign in terms of x.