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Geometry Chapter 12 Test Review Standards/Goals:
F.1.a.: I can find the perimeter and area of common plane
figures, such as: triangles, quadrilaterals, regular polygons, and
irregular figures, from given information using appropriate units
of measurement.
F.1.b.: I can manipulate perimeter and area formulas to solve
problems.
F.1.c.: I can find the area of a circle and the area of a sector
of a circle from given information. Review Standards:
G.SRT.5./ E.1.c.: I can identify similar figures and use ratios
and proportions to solve mathematical and real-world problems.
E.1.d.: I can use the definition of similarity to establish the
congruence of angles, proportionality of sides, and scale factor of
two similar polygons.
#1. Find the area of parallelogram ABCD to the nearest tenth.
#2. Rhombus ABCD has an area of 464 square units. If DB = 18 units,
find AC.
#3. What is the area of the shaded sector if the measure of
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#6. A trapezoid has an area of 258.5 square inches, height 16
inches, and one base of 30 inches. What is the length of the other
base? #7. The figure shown is a REGULAR hexagon with radii and an
apothem drawn.
a. What is m
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#12. What is the area of a circle with a diameter of 26
inches?
#13. The pentagon’s shown are similar. Side length of A = 3 cm;
Side length of B = 9 cm
a. What is the ratio of the perimeters?
b. What is the ratio of the areas?
c. What is the ratio of the volumes?
#14. It costs $550 to carpet an 6 ft by 10 ft room. At this
rate, how many dollars would it cost to put the same carpeting in a
22 foot by 30 foot room? #15. Find the area of the kite. Round to
the nearest tenth.
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#16. Find the area of quadrilateral ABCD if AC = 9. Round to the
nearest tenth. #17. The Smith family is planning to re-carpet part
of the first floor of their house. Find the amount of carpeting
needed to cover the living room, den, and hall.
#18. The Wilson family is planning to have new carpet installed
in their guest bedroom, family room, and hallway. Find the number
of square yards of carpet they should order.
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A bakery has a 50 foot by 31 foot parking lot. The four parking
spaces are congruent parallelograms, the driving region is a
rectangle, and the two areas for flowers are congruent triangles.
Round answers to the nearest tenth, if necessary. #19. Find the
area of the FOUR parking spaces only. #20. Find the area of the
entire paved surface. Find the area of each figure based on the
graph shown. (NOTE: unit of measurement should simply be ‘units’.)
Round answers to the nearest tenth. #21. Parallelogram ABJF #22.
ΔBDJ #23. ΔDKJ #24. Parallelogram BDKJ #25. Parallelogram ADKF #26.
ΔBDJ #27. Trapezoid ADJF
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#28. The end of a gold bar has the shape of a trapezoid with the
measurements shown. Find the area of the end. Find the area of
quadrilateral QRST. Round answers to the nearest tenth. #29.
#30.
#31. #32.
#33. #34.
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#35. Rachel has bought a house that needs to be remodeled
partially.
a. She plans to put hardwood flooring in the family room and in
the hallway next to the kitchen. How much hardwood will she need to
put in those areas?
b. If hardwood costs $30.50 per square foot to lay, how much
will it cost?
c. She plans to put new carpet in the guest bedroom. How much
carpet will Rachel need to purchase?
d. Suppose carpet costs $6.75 per square foot, how much will it
cost to re-carpet the guest bedroom?
e. Suppose Rachel plans to put new linoleum on the kitchen. How
much linoleum will she need to purchase?
f. Suppose linoleum costs $3.50 per square foot to purchase. How
much will it cost to re-do the kitchen?
g. What is the total cost of remodeling that Rachel should
estimate to have to pay for these improvements?
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#37. The figure below consists of a square and 2 semicircles,
with dimensions as shown. What is the outside perimeter, in
centimeters, of the figure? #38. Find the area of the figure
shown:
#39. Jake needs to lay sod in the triangular area shown. To the
nearest square meter, how much sod would he need? Show your work
and explain how you found your answer.