A–2
Name
Date
Investigate Perimeter
Every polygon has exactly one perimeter. A polygon has fixed
sides and its perimeter is the sum of the lengths
of all the sides. Different polygons can have the same
perimeter. Look at the two quadrilaterals to the right.
1. Suppose each square unit on the grid has a side length of 1 unit.
What is the perimeter of the square?
units
the rectangle?
units
For each given perimeter, draw three different squares or rectangles on the
grid below.
2. P ⫽ 16 units
3. P ⫽ 20 units
5. Analyze Using only whole units, is it possible to draw a square or rectangle with a
perimeter of 15 units on the grid? Use perimeter formulas to support your answer.
6. Explore It Each square unit on the grid has an area equal to 1 square unit. Find
the areas of the quadrilaterals you drew. Which quadrilaterals in each exercise have
the greatest area? Which have the least area?
Copyright © Houghton Mifflin Company. All rights reserved.
4. P ⫽ 26 units
A–2
Name
Date
Investigate Perimeter
Every polygon has exactly one perimeter. A polygon has fixed
sides and its perimeter is the sum of the lengths
of all the sides. Different polygons can have the same
perimeter. Look at the two quadrilaterals to the right.
1. Suppose each square unit on the grid has a side length of 1 unit.
What is the perimeter of the square?
12
units
the rectangle?
12
units
For each given perimeter, draw three different squares or rectangles on the
grid below.
Check students’ drawings.
2. P ⫽ 16 units
3. P ⫽ 20 units
5. Analyze Using only whole units, is it possible to draw a square or rectangle with a
perimeter of 15 units on the grid? Use perimeter formulas to support your answer.
No, it is not possible.
Answers may vary.
6. Explore It Each square unit on the grid has an area equal to 1 square unit. Find
the areas of the quadrilaterals you drew. Which quadrilaterals in each exercise have
the greatest area? Which have the least area?
Answers may vary.
Copyright © Houghton Mifflin Company. All rights reserved.
4. P ⫽ 26 units