Area/Perimeter
Area Models
Vertical Multiplication
Word Problems
100

Find the area and perimeter of a rectangle that has a length of 4 and a width of 5.

P = 4 + 5 + 4 + 5 = 18
A = 4 x 5 = 20

100

Draw an area model to solve:

20 x 30

Rectangle with one side of 30 and another of 60. Inside is written 600.

100

4 x 28

112

100

A bus has 18 rows of seats. In each row, 4 people can sit. How many people can ride on the bus (not including the driver).

18 x 4 = 72

200

A rectangle had an area of 28 square meters and a width of 7 meters. What is the length of the rectangle?

A = 28 = 7 x ?
28 = 7 x 4
The missing side is 4 meters.

200

Draw an area model to solve:

30 x 40

A rectangle with one side of 30 and another side of 40 with the number 1200 inside.

200

6 x 382 

2,292

200

Roy is getting prepared for the bake sale tomorrow by making 3 types of cookies. He is making 12 oatmeal cookies. Then he is going to make 12 more peanut butter cookies than oatmeal. He thinks he should make three times as many chocolate chip cookies as he does peanut butter. How many chocolate chip cookies does he make?

12 + 12 = 24
24 x 3 = 72 cookies.

300

Last year, Jesse has a garden with a length of 4 and a width of 6. This year he wants to build a garden with three times the length and double the width. Draw his old and new garden with labels.

The first rectangle is 4 by 6. The second is 12 by 12.

300

Draw an area model to solve:

3 x 126

A rectangle divided into 3 sections. 3 is written on one side and 100, 20, and 6 are written on the top. The answer is 378.

300

5 x 1,002

5, 010

300

Roy is getting prepared for the bake sale tomorrow by making 3 types of cookies. He is making 12 oatmeal cookies. Then he is going to make 12 more peanut butter cookies than oatmeal. He thinks he should make three times as many chocolate chip cookies as he does peanut butter. How many cookies does he make altogether?

12 + (12+12) + ((12+12) x 3) = 108

400

Last year, Jesse has a garden with a length of 4 and a width of 6. This year he wants to build a garden with three times the length and double the width. What is the perimeter of his old and new garden?

Old Perimeter = 4 + 6 + 4 + 6 = 20

New Perimeter = 12 + 12 + 12 + 12 = 48

400

Draw an area model to solve:

4 x 270

A rectangle divided into 2 sections. The vertical side has 4 written and the horizontal side has 200 and 70. The answer is 1,080.

400

7 x 3,051

21,357

400

Sam is buying art supplies for the school. He has 5 cases of crayons with 48 boxes in each. Then he buys 8 cases of markers with 102 boxes in each. How many boxes of crayons and markers will the school have?

5 x 48 = 240

8 x 102 = 816

816 + 240 = 1,056

500

Last year, Jesse planted 3 rows of potatoes with 12 plants in each row. The year he plans to plant twice as many rows with twice as many potato plants in each. How many potato plants will Jesses have? 

His new garden will have 6 rows of 24 plants. He will have a total of 144 potato plants. 6 x 24 = 144.

500

Draw an area model to solve:

2 x 1,524

A rectangle divided into 4 sections. The vertical side has 2 written on it while the horizontal side has 1000, 500, 20, and 4. The answer is 3,048.
500

8,034 x 5

40,170

500

Sam is buying art supplies for the school. He has 5 cases of crayons with 48 boxes in each. Then he buys 8 cases of markers with 102 boxes in each. How many boxes of crayons and markers will the school have? Is your answer reasonable?

First, estimate by rounding:
5 x 50 = 250
8 x 100 = 800
800 + 250 = 1,050

exact answer is: 816 + 240 = 1,056

Yes, my answer is reasonable because it is very close to my estimate of 1,050 boxes.