Lesson Worksheet: Areas of Rectangles with the Same Perimeter Mathematics • 3rd Grade

In this worksheet, we will practice drawing rectangles with the same perimeter, counting unit squares to find their areas, and comparing these areas.

Q1:

True or False: The two given rectangles are equal in perimeter and equal in area.

  • ATrue
  • BFalse

Q2:

Rectangle A and rectangle B have the same perimeter. Which of them has a larger area?

  • ARectangle A
  • BRectangle B

Q3:

True or False: The two given rectangles are equal in perimeter but not equal in area.

  • ATrue
  • BFalse

Q4:

Which of the following rectangles has the same perimeter as but a larger area than the given rectangle?

  • A
  • B
  • C
  • D

Q5:

Rectangle A and rectangle B have the same perimeter. Which of them has a smaller area?

  • ARectangle B
  • BRectangle A

Q6:

Which of the following rectangles has the same perimeter as but a smaller area than the given rectangle?

  • A
  • B
  • C
  • D

Q7:

Look at rectangles A and B.

The area of Rectangle A is 32 in2. Mason says that the area of Rectangle B must be different because their perimeters are different. Find the area of Rectangle B to check if Mason is correct.

Q8:

Which two rectangles have the same perimeter?

  • AB and D
  • BA and D
  • CA and C
  • DB and C

Which rectangle has the smallest area?

  • AC
  • BA
  • CD
  • DB

Q9:

These three rectangles have the same perimeter. Which one has the greatest area?

  • AA
  • BB
  • CC

Q10:

These three rectangles have the same perimeter. Which one has the smallest area?

  • AB
  • BA
  • CC

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