A rectangular picture 30cm wide and 50cm long is surrounded by a frame. Combined area of the picture and frame is 2016cm, what is

Question

Please solve it in quadratic representation.

Answer 1

(30 + x)(50+x) = 2016

 

1500 + 30x + 50x + x^2 = 2016

 

x^2 + 80x + 1500 = 2016

 

x^2 + 80x - 516 = 0

 

(x       +    86  )(x   - 6           ) = 0

 

x+86 = 0 ---> results in negative measures.

 

x-6 = 0 ---> x = 6

 

THe frame is 6 cm wide.

 

CHECK: 36 x 56 = 2016