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 :

4

144

12

2

None of these


Description (বিবরণ) :

প্রশ্ন: 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 :

ব্যাখ্যা:

Area = 14 × 10 = 140 sq.cm

New length = ( 14 - x)

New width = ( 10 + x)

14 - x = 10 + x

2x = 4

x = 2

New Area = ( 14 - 2) × ( 10 + 2) = 144

change is area = ( 144 - 140) sq.cm = 4 sq.cm


Related Question

If the length of a rectangle is increased by 20% and the width is decreased by 20%, the area is :

increases by 10%

Stay the same

decreased by 4%

decreased by 20%