AREA
PERIMETER
AREA vs PERIMETER
WORD PROBLEMS
Mixed Review
100

100

What is the area of a rectangle with a length of 6 units and a width of 3 units?

๐Ÿ‘‰ Answer: 18 square units

๐Ÿง  Annotation:
Area = length ร— width

100

100

What is the perimeter of a rectangle with side lengths 7 units and 3 units?

๐Ÿ‘‰ Answer: 20 units

๐Ÿง  2(7 + 3)

100

100

Which measurement tells how much space is inside a shape?

๐Ÿ‘‰ Answer: Area

100

100

A garden is 6 units long and 4 units wide.
What is the area of the garden?

๐Ÿ‘‰ Answer: 24 square units

100

100

Which rectangle has the greater area?
a. 3ร—8
b. 4ร—6

๐Ÿ‘‰ Answer: 4ร—6 (24)

200

200

What is the area of a rectangle with a length of 9 units and a width of 2 units?

๐Ÿ‘‰ Answer: 18 square units

200

200

What is the perimeter of a rectangle with side lengths 5 units and 6 units?

๐Ÿ‘‰ Answer: 22 units

200

200

Which measurement tells the distance around a shape?

๐Ÿ‘‰ Answer: Perimeter

200

200

A fence goes around a yard that is 7 units by 3 units.
What is the perimeter?

๐Ÿ‘‰ Answer: 20 units

200

200

Which rectangle has the greater perimeter?
a. 3ร—8
b. 4ร—6

๐Ÿ‘‰ Answer: 3ร—8 (22 vs 20)

300

300

Which rectangles have an area of 16 square units?
a. 4 by 4
b. 2 by 8
c. 1 by 16
d. All of the above

๐Ÿ‘‰ Answer: d (All of the above)

๐Ÿง  Annotation:
All are factor pairs of 16

300

300

A rectangle has a perimeter of 28 units. Two sides are 10 units each.
What are the other two sides?

๐Ÿ‘‰ Answer: 4 units each

๐Ÿง  10 + 10 + 4 + 4 = 28

300

300

Can two rectangles have the same area but different perimeters?

๐Ÿ‘‰ Answer: Yes

๐Ÿง  Example: 4ร—4 and 2ร—8

300

300

Kyndal is tiling a floor that measures 5 units by 5 units.
How many square units will she cover?

๐Ÿ‘‰ Answer: 25 square units

300

300

A rectangle has an area of 36 square units.
List all possible whole-number side lengths.

๐Ÿ‘‰ Answer:
1ร—36, 2ร—18, 3ร—12, 4ร—9, 6ร—6

๐Ÿง  Factor pairs

400

400

A rectangle has an area of 30 square units. One side is 5 units.
What is the missing side length?

400

A rectangle has an area of 30 square units. One side is 5 units.
What is the missing side length?

400

400

Which rectangle could have a perimeter of 24 units?
a. 6 by 6
b. 8 by 4
c. 10 by 2
d. All of the above

๐Ÿ‘‰ Answer: d (All of the above)

400

400

Which rectangle has a greater perimeter?
Shape A: 5ร—5
Shape B: 2ร—12

๐Ÿ‘‰ Answer: Shape B

๐Ÿง  20 vs 28

400

400

Barry is building a rectangular pen with a perimeter of 26 units. Two sides are 9 units.
What are the other two sides?

๐Ÿ‘‰ Answer: 4 units each

๐Ÿง  9 + 9 + 4 + 4 = 26

400

400

A student says:
โ€œIf two rectangles have the same perimeter, they must have the same area.โ€
Is this correct? Explain.

๐Ÿ‘‰ Answer: No

๐Ÿง  Example:

  • 10ร—6 โ†’ area 60
  • 13ร—3 โ†’ area 39

โš ๏ธ Misconception:
Students assume same perimeter = same area

500

500

Create two different rectangles that each have an area of 20 square units.

๐Ÿ‘‰ Answer:
Examples: 4ร—5 and 2ร—10

๐Ÿง  Annotation:
Students generate factor pairs

500

500

Create a rectangle with a perimeter of 32 units.

๐Ÿ‘‰ Answer:
Examples: 10ร—6 or 8ร—8

500

500

Explain why two shapes can have the same area but different perimeters.

๐Ÿ‘‰ Answer:
Different side lengths change the distance around the shape

๐Ÿ’ฌ Teacher Push:
โ€œCan you give an example?โ€

500

500

Noel creates two rectangles with the same area of 18 square units.
One is 3ร—6. Create another and compare their perimeters.

๐Ÿ‘‰ Answer:
Example: 2ร—9
Perimeters:

  • 3ร—6 โ†’ 18
  • 2ร—9 โ†’ 22

๐Ÿง  Annotation:
Same area, different perimeter

500

500

Create a rectangle that has:

  • Area = 24
  • Perimeter = 20

๐Ÿ‘‰ Answer: 4 ร— 6

๐Ÿง  Check both conditions:
Area = 24
Perimeter = 20

๐Ÿ’ฌ Teacher Push:
โ€œHow do you know BOTH are true?โ€

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