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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

 

(i) Write an algebraic equation depicting the above information
1 214  
2 216  
3 212  
4 210  

Ans.

(2)

Original area of the photo = 18 × 12 = 216 cm².

Area of the photo after increasing length and breadth each by x units = (18 + x)(12 + x) = 216 + 30x + x².

It is given that the area of the photo is doubled after increasing length and width by x units.

∴ 216 + 30x + x² = 2 × 216 …(i)