APPLICATIONS
- LANDSCAPING A woman wants to plant a pine-
tree screen around three sides of her rectangular-
shaped backyard. (See the figure below.) If she
plants the trees 3 feet apart, how many trees will she
need?
- GARDENING A gardener wants to plant a border
of marigolds around the garden shown below, to
keep out rabbits. How many plants will she need if
she allows 6 inches between plants?
- COMPARISON SHOPPING Which is more
expensive: a ceramic-tile floor costing $3.75 per
square foot or vinyl costing $34.95 per square
yard?
- COMPARISON SHOPPING Which is cheaper:
a hardwood floor costing $6.95 per square foot
or a carpeted floor costing $37.50 per square
yard?
- TILES A rectangular basement room measures
14 by 20 feet. Vinyl floor tiles that are 1 ft^2 cost
$1.29 each. How much will the tile cost to cover the
floor? (Assume no waste.)
- PAINTING The north wall of a barn is a rectangle
23 feet high and 72 feet long. There are five windows
in the wall, each 4 by 6 feet. If a gallon of paint will
cover 300 ft^2 , how many gallons of paint must the
painter buy to paint the wall?
- SAILS If nylon is $12 per square yard, how much
would the fabric cost to make a triangular sail with a
base of 12 feet and a height of 24 feet?
- REMODELING The gable end of a house is an
isosceles triangle with a height of 4 yards and a base
of 23 yards. It will require one coat of primer and
one coat of finish to paint the triangle. Primer costs
20 ft
16 ft
60 ft
120 ft
The first tree is to be
planted here, even with
the back of her house.
$17 per gallon, and the finish paint costs $23 per
gallon. If one gallon of each type of paint covers 300
square feet, how much will it cost to paint the gable,
excluding labor?
- GEOGRAPHY Use the dimensions of the trapezoid
that is superimposed over the state of Nevada to
estimate the area of the “Silver State.”
- SOLAR COVERS A swimming pool has the shape
shown below. How many square feet of a solar
blanket material will be needed to cover the pool?
How much will the cover cost if it is $1.95 per square
foot? (Assume no waste.)
- CARPENTRY How many sheets of 4-foot-by-8-foot
sheetrock are needed to drywall the inside walls on
the first floor of the barn shown below? (Assume that
the carpenters will cover each wall entirely and then
cut out areas for the doors and windows.)
12 ft
20 ft
48 ft
20 ft
12 ft
25 ft
Reno
LasVe g a s
Carson City
NEVADA
UTAH
ARIZONA
IDAHO
OREGON
CALIFORN
IA
505 mi
205 mi
315 mi
9.7 Perimeters and Areas of Polygons 791
