Area is 42 square feet. The length is twice the width plus eight feet. What is length and width of area?

Question

Riddle question

Answer 1

We know that the area of a rectangle is l x w = Area 

 

The given information states that the length = 2w + 8 

 

Thus, the equation we use is: 

 

(2w+ 8)(w) = 42 

 

2w^2 + 8w = 42 

 

2w^2 + 8w -42 = 0 

 

(2w-6)(w+7) = 0 

 

w = 3 or -7 

 

The width is 3 thus the length is 14.