The length of a rectangle is increased by 10% and breadth

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RRB ASM Exam (Ajmer) 2007 click here to view all questions

The length of a rectangle is increased by 10% and breadth decreased by 10%. Then the area of the new rectangle is

Aneither decreased nor increased

Bincreased by 1%

Cdecreased by 1%

Ddecreased by 10%

Nithin K ? Nov 20 '2016 at 19:16

Answer is : decreased by 1%

Explanation :

Suppose
Length is 10cm.
Breadth is 20cm.
Then old Area = Length x Breadth = \(10 \times 20\) = 200 ......................(i)

If Length increased by 10% = 11cm
if Breadth decreased by 10% = 18cm
So, new Area = \(11 \times 18 \)= 198 ..............................(ii)

From (i) and (ii)
old area = 200
new area = 198
So new area is decreased by 1%

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Answer is : decreased by 1% Explanation : Suppose Length is 10cm. Breadth is 20cm. Then old Area = Length x Breadth = \(10 \times 20\) = 200 ......................(i) If Length increased by 10% = 11cm if Breadth decreased by 10% = 18cm So, new Area = \(11 \times 18 \)= 198 ..............................(ii) From (i) and (ii) old area = 200 new area = 198 So new area is decreased by 1% Nithin K ? answered Nov 20 '2016 at 19:16 All Comments

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