Question

The area of a rectangle is 14 yd2 , and the length of the rectangle is 3 yd less than twice the width. find the dimensions of the rectangle.

Answer 1

Let x be the width 
2x-3= length 

(2x-3)(x)=14
2x^2-3x=14 
2x^2-3x-14=0 
(2x- 7)(x+2)=0 
x=7/2 or x=-2

Since we know that negative values cannot exist in distance, we have to take 7/2 to as the correct answer. 

The width would be 3.5 yards 
Length= 2(3.5)-3 
=4 yards 

3.5 x 4 yards is the dimension of the rectangle 

Hope I helped :)