Answer: L = 10 , W = 14
Step-by-step explanation:
Let [tex]L[/tex] represent the Length and [tex]W[/tex] represents the Width , then from the first statement , we have
[tex]W +6 = 2L[/tex]
That is :
[tex]W = 2L - 6[/tex]
The formula for finding the area of a rectangle is given as:
[tex]Area =[/tex] [tex]Length[/tex] x Width
That is :
[tex]140 = L(2L-6)[/tex]
140 = [tex]2L^{2}[/tex][tex]-6L[/tex]
That is :
[tex]2L^{2}-6L-140=0[/tex]
solving the quadratic equation , we have
[tex]L = 10[/tex] or [tex]L = -7[/tex]
Since the length can not be negative , therefore :
L = 10
Substitute L = 10 , to get W ,
W = 2L - 6
W = 20 - 6
W = 14
Therefore , the dimension is 10 x 14
