Question

Lesson: Polygons and Perimeter

Squares and Rectangles


1. Define perimeter.


2. Write the formula for the perimeter of a square. Tell what the variables represent.


3. Write two formulas for the perimeter of a rectangle. Tell what the variables represent.


4. Could you use a formula for the perimeter of a rectangle to find the perimeter of a square? Could you use the formula for the perimeter of a square to find the perimeter of a rectangle? Explain.

Other Polygons

1. What formula could you write to find the perimeter of a pentagon in which each side is a different length?


2. What formula could you write for a quadrilateral with four different side lengths?


3. Do you need to write a formula to find the perimeter of a polygon?


4. Name a benefit of writing a formula to find the perimeter of a polygon.

Answer 1

1.The perimeter of a figure is the total distance around the edge of the figure.

2.perimeter of square is 4s (or)4a. where s=length of any side (or)a=length of any side.

3.p=2(l+w). where l=length and w=width.

4.No. But if the question is both the perimeters are equal to some number eg., 30cm then we can take equal to 30cm to find some other like side or length or breadth.

1.p=5a

2.(ab+bc+cd+da)

3.Yes.

4.The formula for finding the regular polygon is just the number of sides × the length of any side.