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Perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once.
Perimeter of the rectangle = Sum of the lengths of its four sides.
Perimeter of a rectangle = length + breadth + length + breadth
i.e. Perimeter of a rectangle = 2 × (length + breadth)
An athlete takes 10 rounds of a rectangular park, 50 m long and 25 m wide. Find the total distance covered by him.
Sol. Length of the rectangular park = 50 m
Breadth of the rectangular park = 25 m
Total distance covered by the athlete in one round will be the perimeter of the park.
Now, perimeter of the rectangular park
= 2 × (length + breadth) = 2 × (50 m + 25 m)
= 2 × 75 m = 150 m
So, the distance covered by the athlete in one round is 150 m.
Therefore, distance covered in 10 rounds = 10 × 150 m = 1500m
The total distance covered by the athlete is 1500 m.
Perimeter of a square = 4 × length of a side
Find the perimeter of a regular pentagon with each side measuring 3 cm.
Sol. This regular closed figure has 5 sides, each with a length of 3 cm.
Thus, we get
Perimeter of the regular pentagon = 5 × 3 cm = 15 cm
The perimeter of a regular hexagon is 18 cm. How long is its one side?
Sol. Perimeter = 18 cm
A regular hexagon has 6 sides, so we can divide the perimeter by 6 to get the length of one side.
One side of the hexagon = 18 cm ÷ 6 = 3 cm
Therefore, length of each side of the regular hexagon is 3 cm.