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If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
A. 25 % Increase
B. 25 % Decrease
C. 50 % Decrease
D. 50 % Increase
c
50% it will Decrease.
Answer : Option D
Explanation :
--------------------------------------------------------- Solution 1 --------------------------------------------------------- Let original length = 100 and original breadth = 100 Then original area = 100 × 100 = 10000
Length of the rectangle is halved⇒New length = Original length2=1002=50breadth is tripled⇒New breadth= Original breadth×3=100×3=300
Initial area AI=lb (l=length,b=breadth)
Area after dimensions are changed Af=(l/2)(3*b)=1.5lb
percentage change=((Af-Ai)/Ai)*100=(1.5-1)/1=50% increases
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