Answer :
Answer:
length = 28 yards
width = 12 yards
Step-by-step explanation:
We can find the dimension of the rectangle with the length is 4 yd more than twice the width and its area is 336 yd² by using this formula:
[tex]\boxed{area=length\times width}[/tex]
Given that [tex]width=x[/tex], then [tex]length=(2x+4)[/tex]
[tex]area=length\times width[/tex]
[tex]336=(2x+4)(x)[/tex]
[tex]2x^2+4x-336=0[/tex]
[tex]x^2+2x-168=0[/tex]
[tex](x-12)(x+14)=0[/tex]
[tex]x=-14\ or\ 12[/tex]
Since [tex]x[/tex] (width) cannot be negative, then:
- [tex]width=12\ yd[/tex]
- [tex]length=2(12)+4=28\ yd[/tex]
