Q. 35.0( 8 Votes )

Consider all rect

Answer :

According to the question the perimeter of the rectangle must be always equal to 100 cm.


Now, let one side be x cm and other adjacent side be y cm.


P = 2 × [x + y]


100 = 2x + 2y


y = 50 – x – (1)


(i) a(x) = (50-x) × (x) – (by (1))


a(x) = 50x – x2


(ii) a(10) = 50 × (10) – (10)2 = 400


a(40) = 50 × (40) – (40)2 = 400


Now if a side a is 10 cm, then the other side


P = (10 + y) × 2


P = 100


50 – 10 = y


y = 40 cm


the in case of x = 10 cm y = 40 cm, and in case of x = 40 cm y = 10 cm. So, in both cases we have same rectangle hence the area is same.


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