What will happen to the area of rectangle if its length is doubled and breadth is halved
Answers
Answer:
originally area will be xy if length is x and breadth is y
now acc to the situation if length is doubled i.e 2x and breadth is half i.e y/2....
area will be l×b
2x ×y/2=xy
area will remain the same i.e xy
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≡QUESTION≡
What will happen to the area of rectangle if its length is doubled and breadth is halved?
║⊕ANSWER⊕║
Let the length be x and breath be y.
As length is doubled so let it be represented as 2x
and breath is half so the breadth can be represented as ½y
Now,
Area of rectangle = l × B
= 2x × ½y
= x * y
ASSUME
x =5 cm and y = 4 cm
Area = 20 cm²
But if length is doubled and breath is half so,
l = 10 cm and B = 2 cm
Area of rectangle = 10 * 2 = 20 cm
∴ There is NO CHANGE in the area of a rectangle if we double its length and also reduce its width by one-half.