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

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**Ans:** If by increasing each dimension by x units, the area of the 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 to solve, we need to find root values:

We know that d = b^{2 }– 4ac

= 900 +16 = 916

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

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