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Solution


Q.

While designing the school yearbook, a teacher asked a student to increase both the length and width of a particular photo by x units each in order to double the photo’s area. The original photo is 18 cm long and 12 cm wide.


Based on the above information, answer the following questions:

 

(iii) (a) What should be the new dimensions of the enlarged photo
 
1  Length = 24 cm, Breadth = 18 cm  
2  Length = 18 cm, Breadth = 24 cm  
3  Length = -23 cm, Breadth = 18 cm  
4  Length = 24 cm, Breadth = -24 cm  

Ans.

(1)

x² + 30x - 216 = 0 ⇒ x² + 36x - 6x - 216 = 0⇒ x(x + 36) - 6(x + 36) = 0 ⇒ (x - 6)(x + 36) = 0⇒ x = 6 or x = -36 (x ≠ -36)Hence, the new dimensions of the enlarged photo are:Length = 18 + x = 18 + 6 = 24 cmBreadth = 12 + x = 12 + 6 = 18 cm