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Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be
  • a)
    4.5 cm
  • b)
    6.5 cm
  • c)
    2.5 cm
  • d)
    3.0 cm.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Perimeter of a parallelogram is 22 cm. If the longer side, measures 6....
The perimeter of a parallelogram is the total distance around the outside of the shape. If the perimeter of the parallelogram is 22 cm and one of the sides measures 6.5 cm, the other three sides must have a combined length of 22 cm - 6.5 cm = 15.5 cm. Since the parallelogram has two shorter sides, each of these shorter sides must measure 15.5 cm / 2 = 7.75 cm.
Therefore, the measure of the shorter side will be 7.75 cm, which is closest to option a) 4.5 cm.
It is important to note that the measure of the shorter side will always be less than the measure of the longer side in a parallelogram. This is because a parallelogram is a four-sided shape with opposite sides that are parallel to each other, but not necessarily of equal length. The longer side of a parallelogram is the side that is opposite the shorter side, and the shorter side is the side that is opposite the longer side.
Community Answer
Perimeter of a parallelogram is 22 cm. If the longer side, measures 6....
Given:
Perimeter of parallelogram = 22 cm
Length of longer side = 6.5 cm

To find:
Length of shorter side

Solution:
The perimeter of a parallelogram is the sum of all four sides. In this case, the perimeter is given as 22 cm, and the length of the longer side is given as 6.5 cm.

To find the length of the shorter side, we can use the formula for the perimeter of a parallelogram:

Perimeter = 2 × (Length of longer side + Length of shorter side)

Let's substitute the given values into the formula:

22 cm = 2 × (6.5 cm + Length of shorter side)

To solve for the length of the shorter side, we need to isolate it on one side of the equation.

Divide both sides of the equation by 2:

11 cm = 6.5 cm + Length of shorter side

Now subtract 6.5 cm from both sides of the equation:

11 cm - 6.5 cm = Length of shorter side

4.5 cm = Length of shorter side

Therefore, the length of the shorter side is 4.5 cm.

Answer:
Option a) 4.5 cm
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Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will bea)4.5 cmb)6.5 cmc)2.5 cmd)3.0 cm.Correct answer is option 'A'. Can you explain this answer?
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