**Q) **Can any rational value of x make the new area equal to 220cm^{2} ?

**Ans:** If by increasing each dimension by x units, the area of photo is enlarged to 220 cm^{2}, then

(18 + x) (12 + x) = 220

⇒ x^{2} + 30 x + 216 = 220

⇒ x^{2} + 30 x – 4 = 0

Now, for solving, we need to find root values:

We know that d = b^{2 }– 4ac

= 900 +16

= 916

Since 916 is not a perfect square, therefor **we can not have any rational value of x** to make the new area equal to 220cm^{2}.