if the base of a rectangle is increased by 10 and area..., Area, General Mathematics

Question:If the base of a rectangle is increased by `10%` and the area is unchanged then the corresponding altitude must be decreased by :

A `10%` 
B `9 1/11%` 
C `11%` 
D `11 1/9%`

/98

+ AnswerB

+ ExplanationLet, length = a & breadth = b. Then, area = ab.

New length` = (110)/(100) a = (11a)/10.` Let new breadth = c.

Then,` (11a)/10 xx c = ab or c = (10b)/11.`

:. Decrease in breadth` = (b/11 xx 1/b xx 100)%`

                             `= 9 1/11%`

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