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Question
Given alongside is the diagram of a playground. It shows the length of its sides. Find the perimeter of the playground.
Solution
It is known that the perimeter of a polygon is equal to the sum of the lengths of all the sides of the polygon.
Let us mark the vertices of the given polygon as A, B, C, D, E, and F.
The given figure can be broken into rectangles and squares by drawing a line CG || BA.
Now, ABCG is a rectangle and GDEF is a square.
Since opposite sides of rectangle are equal, then
GC = AB = 10 m and AG = BC = 15 m
Since length of each sides of square is equal, then
GD = DE = EF = FG = 15 m
Perimeter of ABCDEFG
= AB + BC + CD + DE + EF + FG + GA
= 10 + 15 + 5 + 15 + 15 + 15 + 15
= 90 m
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