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MATH CHAPTER 15
4th GRADE
Area
rectangle height square perimeter
1. The ______is the distance around a shape.
2. A shape that has 4 right angles and
4 equal sides is called a ______.
3. A shape that had 4 right angles and
2 pairs of parallel sides is called a ______.
Find Each Product.
6 x 5 7 x 9 8 x 8 7 x 4
3 x 6 5 x 4 8 x 5 4 x 9
9 x 6 8 x 4 3 x 9 8 x 7
Identify Each 2D Shape
Identify Each 2D Shape
AREA is the number of square units
needed to cover a region.
Count the square units inside the shape to get the exact area of the shape.
Sometimes you can estimate
the area.
If you make a guess, say that it is an estimate. It is about ______ squares.
Tell if the area is exact or an estimate.
Aubry bought 4 notebooks, 2 boxes of markers and 3 glue sticks. How much money did he spend on his supplies.
$2.98
$1.87
$.55
$2.46
What would be a good estimate of area outside of the green shaded area?
A bookstore is having a sale. When customers buy 3 books they get one
book free. If Doug buys 12 books, how many books will he get free?
What is a good estimate for the area of the go cart park?
= 1 sq mile
Dirk bought a poster for his room. What is the area of the poster?
3 feet
4 feet
Standard Units of Length and Area
UNIT SQUARE UNIT
inch (in.) ’’ square inch
foot (ft) ’ square foot
yard (yd) square yard
mile (mi) square mile
centimeter (cm) square centimeter
meter (m) square meter
kilometer (km) square kilometer
Jim has painted a mural on
his wall that measures
8 ft by 12 ft.
What is the area of his mural?
Josephine’s family has started a vegetable garden. What is the
area of their garden?
Judy wants to surprise her mother by creating a flowered tablecloth. What is the area of
the tablecloth?
Ida bought 0.6 pound of
green beans and 0.43 pound
of grapes. Did she buy more
beans or grapes?
How much more?
Keri wants to make curtains
for her bedroom. Two windows
are 6 ft by 5 ft. The
curtain material must be
doubled to make the curtains.
How many yards of material
are needed?
( hint: 3 ft = 1 yd )
Richard is helping his mom paint
their living room. The room
is 12 ft by 14 ft.
The ceilings are 8 ft tall.
A gallon of paint covers 300 sq ft.
How many gallons of paint will
be needed?
Mitch wants to paint an area on
the blacktop for basketball
practice. The court is 23 yards
by 40 yards. What is the area of
the court?
Janet wants to cover a bulletin
board with poetry. The board
is 7 ft by 9 ft. How much area
does Janet have for her poetry
display?
Ethan’s garden is 4 ft wide and
has a total area of 32 sq feet.
What is the length of his
garden?
Lakeisha wants to make a quilt for her
Grandmother’s bed.
The quilt needs to have an area
of 56 square feet. If she makes
one side 8 feet long, how long
will the other side be?
This picture of Van Gogh is
4 ft by 8 ft. What area will it
take up on the wall?
Lanier wants to tile a table
as a gift for his mother.
The table will be 4 feet
by 3 feet.
If he uses 2 inch square tiles,
how many tiles will he need?
Reuben drew a polygon with 4
sides. The polygon has 1 set
of parallel sides. What type of
polygon did Reuben draw?
Malcolm is helping tile the kitchen
floor. The kitchen is 16 feet
long and 8 feet wide. The tile
costs $7 per square foot.
How much will it cost to tile
Malcolm’s kitchen?
Melinda ordered doughnuts for
the bake sale. She ordered
9 dozen boxes. She sold all of
the doughnuts except 5.
If she sold each doughnut for
$.50 how much money did
the school make?
Iesha wants to tile
the backsplash
in the kitchen.
The grid shows the
part that needs
tiles. What is the area
of the backsplash?
= 4 sq inch
Phoebe glued square tiles on
the border around the picture
frame. What part of the frame
did she decorate? = 1 sq in
Looking for a shortcut?
Find the area of the whole shape.
Find the area of the small shape.
Subtract.
GARDEN PATIO
Raymond needs to finish tiling the
bottom of the swimming pool.
What area of the pool still needs
to be tiled?
Monica drew two designs.
How much greater is the area
of the yellow figure than the
area of the green figure?
Lisa built these figures out of craft
sticks. If she continues the pattern,
how many craft sticks will she
use for the 5th figure?
1 2 3
Tressa is digging a garden
in her backyard. What is the total
area of corn and tomatoes?
CORN
CARROTS
BEANS
TOMATOES
How can you find the area of an irregular figure?
7 feet5 feet
6 feet
Count the whole units then combine partial units and add.
Count - combine - add.
Count – combine – add.
Can you find the area?
Measure and find the area of each.
Zoe bought 75 feet of sod
to repair the miniature golf
course where she works.
Will she have any sod left over?
Wayne wants to
design a sand trap
that is 360 square
yards. If one side
is 12 yards long,
what is the other
side?
Dustin drew figures on grid
paper. What is the area of each picture?
Mrs. B drew the figure. How could you divide the figure to find the total area?
Russell drew the figures. How could you divide the figure to find the total area?
What is the approximate area?
Write the algebraic expression to show: six times a number is 24
___________________
Write the algebraic expression to show: 3 times a number is 90 + 3
____________________
What fraction is turquoise blue?
It took 13 months to
build the world’s
largest boot. It is 16
feet tall and weighs
2,300 pounds.
How many days did
it take to build the
boot?
Different area – Same perimeter
Draw different rectangles with
perimeters listed. Tell the dimensions and
area of each.
16 20
24 40
You have 48 counters.
You are creating groups with the
Rule: +2
The first group has 3 counters.
How many groups do you need to
make to use up all 48 counters?
Alyssa made the same number
of goals in each of 4 soccer
games. If she made a total of
24 goals, how many did she
make each game?
Jerry drew a rectangle with a
perimeter of 20 inches.
The smaller side measured 3
inches. Tanya said the longer
side had to be 7 inches.
Is she correct?
Which statement is true?
They both have the same height?
They both have the same base?
They both have the same area?
They both have the same perimeter?
2
3
1
4
Same Area Different Perimeter
You must solve the castle puzzle.
You have 16 castle tiles to make a
rectangular castle and 16 water tiles
to make a moat. How can you
completely surround the castle
with water?
Mr. Smyth is using 64 carpet tiles
to make a reading area in his
classroom. Each tile is a square
that measures 1 foot by 1 foot.
What is the length and width
of the rectangular area he can
make with the smallest possible
perimeter?
The length of the base of each side of
the Great Pyramid of Khufu is about
756 feet. If the Great Pyramid of Khufu
is a square pyramid, what is the
distance around the base of the pyramid?
East School and North School
cover the same area. In physical
education classes, each student
runs one lap around the school.
At which school do the students
have to run farther?
The perimeter of rectangle
P is 12 feet.
The perimeter of rectangle
Q is 18 feet.
Both rectangles have the same
area. Find the area of each
rectangle.
Which shapes cannot be
congruent to a rectangle?
Talaya bought 2 sweaters for
$18 each and mittens for $11.
ABOUT how much money will
she get back in change if she
pays with 3 twenty-dollar bills?
Measurement ToolsWhich tool should you use to measure
a basketball court?
An insect?
A notebook?
A postage stamp?
A bedroom wall?
A large lake?
Which Measurement Tool Should You Use?
inch ruler centimeter ruler
yardstick meter stick
GARAGE DOOR CALCULATOR
SOCCER FIELD PENCIL
Trey is thinking of two
whole numbers. The product of
the two numbers is 28.
Their difference is 3. What are
the numbers?
Rosanne has 3 hats, 4 scarves,
and 2 pairs of gloves. How
many different choices of 1 hat,
with 1 scarf, and 1 pair
of gloves does she have?
There are 250 horses entered
in a show. All but 95 are jumpers. How many jumpers
are entered in the show?
Kurt displayed 8 paintings
in each of 4 rows. Which
equation could NOT be used
to find how many paintings he
displayed in all?
4 x 8 = p 8 p = 4
8 + 8 + 8 + 8 = p p 4 = 8