If the length and breadth of a rectangle both made half, then perimeter of rectangle is how many times of the given rectangle?
Answers
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Answer:
The perimeter of a parallelogram is the entire distance around its outside. It's easy to figure out by combining the lengths of all four edges.
Step-by-step explanation:
Assume the length and width of a parallelogram are L and B, and the perimeter is P. When we cut the length and width in half, the new measurements are L/2 and B/2, correspondingly.
To calculate the new perimeter, combine the lengths of all four edges of the new parallelogram, which is:
P' = 2(L/2 + B/2) + 2(L/2 + B/2) (since there are two lengths and two breadths)
When we simplify this equation, we get:
P' = L + B
We can now describe the new perimeter (P') to initial perimeter (P) ratio as:
(L + B)/(2L + 2B) Equals P'/P
Substituting L/2 and B/2 for L and B in the preceding equation yields:
(L/2 + B/2)/(L + B) Equals P'/P
When we simplify this equation, we get:
P'/P = 1/2
As a result, if we cut the length and width of a rectangular in half, the new circumference will be half of the original.
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