15 cm
19 cm
13 cm
21 cm
Correct answer is C
Let the length of the longer side = x cm
∴ The length of the shorter side = (x - 6) cm
If we increase each side's length by 2 cm, it becomes
(x + 2) cm and (x - 4) cm respectively
Area of a rectangle = L x B
A1=x(x−6)=x2−6x
A2=(x+2)(x−4)=x2−4x+2x−8=x2−2x−8
A1+68=A2 (Given)
⇒ x2−6x+68=x2−2x−8
⇒ x2−x2−6x+2x = -8 - 68
⇒ -4x = -76
⇒ x = −76−4 = 19cm
∴ The length of the shorter side = x - 6 = 19 - 6 = 13 cm
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