The length of a rectangle is 7 yd more than twice the width, and the area of the rectangle is 99 yd2 . find the dimensions of the rectangle.

The first thing we must do for this case, is to define a variable.
 We have then:
 w: width of the rectangle.
 By definition, the area of the rectangle is the product of the length by the width.
 We have then:
 
 Substituting the value of the area we have:
 
 Rewriting the polynomial:
 
 When factoring we have:
 
 Taking the positive root we have:
 
 Then, the length of the rectangle is:
 
 
 the dimensions of the rectangle are:
 width = 5.5 yd
 Long = 18 yd