Area Models
Draw an area model to solve: What is 30×60?
The area model represents 30 as 30 (3 tens) and 60 as 60 (6 tens).
30×60=180030×60=1800.
What is 3 x 369
1,107
Room A has 99 rows of seats with 1818 seats in each row. How many seats are in Room A?
Room A has 9×18=1629×18=162 seats.
Last year, Mr. Petersen’s rectangular garden had a width of 55 meters and an area of 2020 square meters. What was the length of last year’s garden?
Area = Length x Width
20 = Length x 5
Length = 20/5
Length = 4 meters
A teacher has 88 cases of crayons, and each case contains 1212 crayons. How many crayons does the teacher have in total?
8 x 12 = 96 crayons
Draw an area model to solve: What is 3×269?
The area model shows
807
What is 5 x 400?
2,000
How many total boxes of crayons do both teachers have if the high school teacher has 99 cases with 5252 boxes each and the elementary teacher has 66 cases with 104104 boxes each?
Total boxes = 468+624=1092468+624=1092.
This year, Mr. Petersen wants to make his garden three times as long and two times as wide as last year's garden. If last year's garden had a width of 55 meters and a length of 44 meters, what will be the area of this year's garden?
If a teacher has 5 cases of crayons, and each case contains 24 crayons, how many crayons does the teacher have in total?
5 x 24 = 120 crayons
Draw an area model to solve 24 x 15
360
What is 7 x 235?
1,645
A movie theater has two rooms. Room A has 9 rows of seats with 18 seats in each row. Room B has three times as many seats as Room A. How many seats are there in both rooms?
Room A has 9×18=1629×18=162 seats. Room B has 162×3=486 seats. Total seats in both rooms = 162+486=648
A rectangular garden has a length of 10 meters and a width of 4 meters. What is the area of the garden?
A = Length x Width
A = 10 x 4
Area = 40 square meters
A high school teacher has 9 cases of crayons, each containing 36 boxes of crayons. If each box contains 8 crayons, how many crayons does the teacher have in total?
Total crayons: 8 x 324 = 2592
Use an area model to calculate 36 x 7
972
7,281
A farmer has 12 rows of apple trees, and each row has 15 apple trees. How many apple trees does the farmer have in total?
180 apple trees
This year, Mr. Petersen wants to triple the length and double the width of his garden. What will be the new area for planting?
Original length 4 meters
Original width 5 meters
New Length = 4×3=12meters,
New Width = 5×2=10meters.
New Area = 12×10=120 square meters.
If an elementary teacher has 6 cases of crayons, each containing 48 crayons, and she gives away 72 crayons to her students, how many crayons does she have left?
Total crayons: 6 x 48 = 288 crayons
Crayons left after giving away: 288 - 72 = 216 crayons
Use an area model to calculate 58 x 46
2,668
What is 6 x 510?
3,060
A school is organizing a field trip for 250 students. Each student will receive 3 lunch boxes. How many lunch boxes does the school need to prepare in total?
250 x 3 = 750 lunch boxes
If Mr. Petersen plans to plant twice as many rows with twice as many carrot plants in each row, how many carrot plants will he plant this year if he planted 44 rows of 1313 plants last year?
This year’s plants = 2×4×2×13=2082×4×2×13=208 plants.
A school orders 10 cases of crayons, and each case contains 50 boxes. If each box holds 20 crayons, how many crayons does the school have in total? If the school decides to distribute 300 crayons to students, how many crayons will remain?
Total crayons: 10 x 50 x 20
10 x 50 = 500
500 x 20 = 10,000 crayons in total
Crayons after distribution:
10,000 - 300 = 9,700 crayons