Perimeter

Definition of Perimeter

Perimeter is the distance around a polygon.

Examples of Perimeter

    The perimeter of the rectangle shown is AB + BC + CD + DA = 8 + 5 + 8 + 5 = 26 units
    Examples of  Perimeter.
    Perimeter of a rectangle can also be found using the formula 2(l + w), where l is the length and w is the width.

Video Examples: Perimeter - MathHelp.com - Math Help


Solved Example on Perimeter

Ques: ABC is an equilateral triangle and the perimeter of triangle ABC is 12 in. Find the measure of each side Examples of  Perimeter.

    Choices:
    A. 36 in.
    B. 4 in.
    C. 12 in.
    D. 6 in.
    Correct Answer: B

Solution:

    Step 1: In triangle ABC, AB = BC = CA
    Step 2: Let AB = BC = CA = x in.
    Step 3: Perimeter of ?ABC = AB + BC + CA
    Step 4: AB + BC + CA = 12
    Step 5: x + x + x = 12 [Substitute AB = BC = CA = x.]
    Step 6: 3x = 12 [Combine like terms.]
    Step 7: [Divide each side by 3.]
    Step 8: x = 4 [Simplify.]
    Step 9: AB = BC = CA = 4 in.
    Step 10: So, the measure of each side is 4 in.
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