Answer :
Answer: [tex]4\times 3.5\ ft^2[/tex]
Step-by-step explanation:
Given
area of the rectangle is [tex]A=14\ ft^2[/tex]
Suppose width is given by w
So, length is [tex]l=2w-3[/tex]
The area of a rectangle is [tex]A=l\times w[/tex]
putting values
[tex]\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft[/tex]
length is [tex]l=4\ ft[/tex]