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 :

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Solution 1
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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 A_I=lb (l=length,b=breadth)

Area after dimensions are changed A_f=(l/2)(3*b)=1.5lb

percentage change=((Af-Ai)/Ai)*100=(1.5-1)/1=50% increases