Advertisements
Advertisements
प्रश्न
Given alongside is the diagram of a playground. It shows the length of its sides. Find the perimeter of the playground.
Advertisements
उत्तर
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
संबंधित प्रश्न
Pinky runs around a square field of side 75 m, Bob runs around a rectangular field with length 160 m and breadth105 m. Who covers more distance and by how much?
The perimeter of a rectangle of length 28 cm and breadth 20 cm is equal to the perimeter of a square. What is the length of the side of that square?
The adjacent sides of a parallelogram are 6 cm and 7 cm. What is the perimeter of the parallelogram?
The sides of a trapezoid measure 8 cm, 7 cm, 4 cm and 5 cm respectively. What is the perimeter of the trapezoid?
In the following figure which of the following is a regular polygon? All have equal side except (i).
Base of a tent is a regular hexagon of perimeter 60 cm. What is the length of each side of the base?
Find the perimeter of a regular hexagon with each side measuring 8 m.
The perimeter of a regular pentagon is 100 cm. How long is its each side?
A piece of string is 30 cm long. What will be the length of each side if the string is used to form a regular hexagon?
Perimeter of a regular polygon = length of one side × ______.
