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Perimeter:

The perimeter of a closed shape can be defined as the total length of its outer boundary. Perimeter is the measure of distance we get after summing up the length of the boundary of a shape. The standard unit to measure the perimeter are miles, yards, feet, inches. And, kilometers, meters, and centimeters.


Perimeter of Quadrilateral

Sum of all the sides.

Perimeter of Triangle

Sum of all the sides.

Perimeter of Circle

πd=2πr

Perimeter of Rectangle

2 (l+w)

 

Perimeter Sample Questions:

Question 1: Find the perimeter of a rectangular object having a length of 10 cm, and a width of 4 cm.


Answer: 28 cm

Explanation: Use the perimeter of rectangle formula.

 

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Question 2: Find the perimeter of the following shape:
 

figure

Answer: 24 units

Explanation: Use the perimeter of rectangle formula.

 

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Question 3: Calculate the perimeter of the following shape:
 

figure 1


Answer: 10.5 units

Explanation: Use the perimeter of triangle formula.

 

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Question 4: Find the perimeter of the circle having a radius of 3 in.
 

figure 2


Answer: 6π in

Explanation: Use the perimeter of circle formula.

 

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Question 5: The following figure shows the dimension of a triangular plot. Find the total cost of fencing, if available fence costs $3 per foot.
 

figure 3


Answer: $41.1

Explanation: Use the perimeter of triangle formula.

 

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Question 6: Find the width of a rectangular farm, if the perimeter is 250 yd, and the length is 70 yd.


Answer: 55 yd

Explanation: Use the perimeter of rectangle formula.

 

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Question 7: Find the cost of fencing a circular ground having a diameter of 68 m. Given wire fencing costs $10 per meter. Use π=3.14. Round your answer to the nearest USD.

figure 4


Answer: $2135

Explanation: Use the perimeter of circle formula.

 

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Question 8: Find the length of a rectangular farm, if the perimeter is 315 m, and the width is 52.5 m.



Answer: 105m

Explanation: Use the perimeter of rectangle formula.

 

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Question 9: Find the perimeter of the following shape:
 

figure 5


Answer: 26 units

Explanation: Use the perimeter of triangle formula.

 

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Question 10: Find the perimeter of the following shape:
 

figure 6


Answer: 30 units

Explanation: Find the dimension of the outer boundary.

 

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