Question

(d) The perimeter of the figure below is equal to 150 cm.
X
x+6
x+5
x+1
x+8
X+4
What is the length of the longest side of the polygon?
Use mathematics to explain how you determined your answer.
Use words, symbols, or both in your explanation.

Answers

  1. Based on the given perimeter of the polygon and the length of each side; the length of the longest side of the polygon is 29 cm

    Perimeter of a polygon

    • Perimeter = 150 cm
    Perimeter of the polygon = x + (x + 6) + (x + 5) + (x + 1) + (x + 8) + (x + 4)
    150 = x + x + 6 + x + 5 + x + 1 + x + 8 + x + 4
    150 = 6x + 24
    150 – 24 = 6x
    126 = 6x
    x = 126/6
    x = 21
    The longest side of the polygon is (x + 8)
    = 21 + 8
    = 29 cm
    Learn more about perimeter:
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