I am a parallelogram with the longer sides 24 m each and the shorter sides 12 m each. My perimeter is_______________
The Correct Answer and Explanation is:
To find the perimeter of a parallelogram, we use the formula:Perimeter=2×(length+width)\text{Perimeter} = 2 \times (\text{length} + \text{width})Perimeter=2×(length+width)
In this case:
- The longer sides (length) are 24 meters each
- The shorter sides (width) are 12 meters each
Step-by-step calculation:
Perimeter=2×(24+12)=2×36=72 meters\text{Perimeter} = 2 \times (24 + 12) = 2 \times 36 = 72 \text{ meters}Perimeter=2×(24+12)=2×36=72 meters
Final Answer:
The perimeter is 72 meters.
Explanation:
A parallelogram is a four-sided polygon where opposite sides are equal in length and parallel to each other. That means it has two pairs of opposite sides, and each pair is equal in length.
In this problem, we are given the lengths of all four sides:
- Two sides are 24 meters each
- The other two sides are 12 meters each
To find the perimeter, we add all four sides. However, since opposite sides are equal, we can use the formula:Perimeter=2×(length+width)\text{Perimeter} = 2 \times (\text{length} + \text{width})Perimeter=2×(length+width)
By substituting the given values:2×(24+12)=2×36=722 \times (24 + 12) = 2 \times 36 = 722×(24+12)=2×36=72
This formula simplifies the process because it avoids listing out all four sides. It is based on the symmetry of the shape, which helps to calculate the perimeter efficiently.
Understanding perimeter is useful in many real-life applications such as fencing a plot of land or framing a picture. For parallelograms, knowing just the lengths of two adjacent sides is enough to compute the total boundary length.
