Answer:
The width of the garden is 12 feet.
The length of the garden is 20 feet.
Step-by-step explanation:
Let l be the length and w be the width
Then according to given statements
[tex]l = 2w-4\ \ \ Eqn\ 1[/tex]
Second equation is:
[tex]2l+2w = 64\ \ \ \ Eqn\ 2[/tex]
Putting l = 2w -4 in equation 2
[tex]2(2w-4)+2w = 64\\4w-8+2w = 64\\6w -8 = 64\\6w = 64+8\\6w = 72\\\frac{6w}{6} = \frac{72}{6}\\w = 12[/tex]
Putting w = 12 in equation 1
[tex]l = 2(12)-4 = 24-4 = 20[/tex]
Hence,
The width of the garden is 12 feet.
The length of the garden is 20 feet.
