Question

Given alongside is the diagram of a playground. It shows the length of its sides. Find the perimeter of the playground.

Answer 1

It is known that, perimeter of a polygon is equal to 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 rectangle and square 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