How do you find the perimeter of a parallelogram?

Answer 1

#P=l+l+w+w#
#P=2l+2w#
#P=2(l+w)#

Any parallelogram, such as the one pictured below, has opposite sides that are congruent. That means that #bar(AB)# and #bar(CD)# have the same length, and that #bar(AD)# and #bar(BC)# have the same length.

Say you only knew the lengths of #bar(AB)# and #bar(AD)#, and wanted to find the perimeter of the entire parallelogram. Even though they're not given to you, you know that #bar(BC)# is exactly as long as #bar(AD)# and #bar(AB)# is congruent to #bar(CD)#.

Thus, the perimeter could be calculated through taking #2xxbar(AB)+2xxbar(AD)#, since there are essentially two of each side.

Through this, you can generalize to any parallelogram: the two widths will always be congruent, as will the two heights:

#P=l+l+w+w#
#P=2l+2w#
#P=2(l+w)#

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the perimeter of a parallelogram, you add the lengths of all four sides together. Since opposite sides of a parallelogram are equal in length, you can multiply the length of one side by 2 and then add it to the product of multiplying the length of the adjacent side by 2. This yields the formula for the perimeter of a parallelogram: ( \text{Perimeter} = 2(\text{length of one side}) + 2(\text{length of adjacent side}) ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7