Answer:
Therefore the Dimensions of Rectangular field are
[tex]Length=66\ feet\\Width=13\ feet[/tex]
Step-by-step explanation:
Given:
Let the length of the Rectangular field be ' L '
and Width be 'W'
According to given Condition
[tex]L=6W-12[/tex]
Perimeter = 158 ft
To Find:
L = ?
W = ?
Solution:
Perimeter of Rectangle is given as
[tex]Perimeter=2\times L+2\times W[/tex]
Substitute 'L' and Perimeter we get
[tex]158=2\times (6W-12)+2W=12W-24+2W\\\\14W=158+24=182\\\\W=\dfrac{182}{14}=13\ feet[/tex]
Substitute 'W' in L we get
[tex]L=6\times 13-12=66[/tex]
Therefore the Dimensions of Rectangular field are
[tex]Length=66\ feet\\Width=13\ feet[/tex]
