What will happen to the area of a square (with side a) when (a) its side is doubled? (b) its side is halved?
Answers
Answer:
(a) When the side of a square is doubled, the area will become four times the previous area.
(b) When the side is halved, the area will become one fourth of the previous one.
Answer:
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Step-by-step explanation:
A (1st)
A (1st) if the length of side is doubled
A (1st) if the length of side is doubled => side of square =2a
A (1st) if the length of side is doubled => side of square =2aAnd
A (1st) if the length of side is doubled => side of square =2aAndArea = (2a)² = 4a²
A (1st) if the length of side is doubled => side of square =2aAndArea = (2a)² = 4a²that means ...
A (1st) if the length of side is doubled => side of square =2aAndArea = (2a)² = 4a²that means ... Area become four times of Area when length of side is doubled.
B Case(2rd)
B Case(2rd)if length of side is halved
B Case(2rd)if length of side is halved=> side = a /2
B Case(2rd)if length of side is halved=> side = a /2=> Area of square = (a/2)² = a²/4
B Case(2rd)if length of side is halved=> side = a /2=> Area of square = (a/2)² = a²/4that means..
B Case(2rd)if length of side is halved=> side = a /2=> Area of square = (a/2)² = a²/4that means..Area become one-fourth when side of square is halved.