Areas Mcqs

Q.  If the length of a rectangle is increased by 20% and it’s breadth is decreased by 20% then it area________?

a. Increased by 4%
b. decreased by 4%
c. Decreased by 1%
d. Remains unchanged


ANSWER: See Answer
 
Let length = x metres and breadth = y metres, then area =(xy)

New length =(120/100x)m = 6x/5 m

New breadth =(80/100 y)m

New area =(6x/5 x 4y/5)m2 = (24/25 xy)m2

Decreased in area =(xy – 24/25 xy)m2= xy/25 m2

Decreased % =(xy/25 x 1/xy x 100)% = 4%
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