The length of a table is 5 cm more than its width. Its area is 126 cm2. Find its dimensions.

A. 4 cm by 9 cm
B. 9 cm by 14 cm
C. 14 cm by 19 cm
D. 19 cm by 24 cm

Question

The length of a table is 5 cm more than its width.  Its area is 126 cm2.  Find its dimensions. 

   A.  4 cm by 9 cm 
   B. 9 cm by 14 cm 
   C. 14 cm by 19 cm 
   D. 19 cm by 24 cm

parthkohli · Answer

Let the length be x + 5 centimetres, and the width be x centimetres. 

$ \color{Black}{\Rightarrow x( x + 5) = 126}$

$ \color{Black}{\Rightarrow x^2 + 5x = 126 }$

$ \color{Black}{\Rightarrow x^2 + 5x - 126 = 0}$

parthkohli · Answer

Solve this quadratic equation.

anonymous · Answer

And also I know you should show how you solved the problem, but if you multiply each of the possible answers, Answer C is the only answer that will result in an area of 126$$cm ^{2}$$