A rectangle is 14 cm long and 10 cm wide, if the length is reduced by x cms and its width is increased also by x cms so as to make it a square, then its area changes by:
Solution
Correct Answer: Option A
New length is 14-x and new width is 10+x. Since the new figure is a square we have that 14-x = 10+x. So 2x = 4 x = 2. So new length and new width are 12 each and new area is 12^2 = 144. initial area is 14*10 = 140. So area is changing by 144-140 = 4.
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