Answer: 51.4275 or 51.428571 (repeating decimals) feet
Step-by-step explanation:
P = perimeter
L = length
W = width
Represent W as [tex]\frac{3}{4} L[/tex]
Find L
P = 2L + 2W
240 = 2L + 2([tex]\frac{3}{4}L[/tex])
240 = 2L + [tex]\frac{3}{2} L[/tex] or you can write 3/2 as 1.5
240 = 2L + 1.5L
240 = 3.5L
[tex]\frac{240}{3.5} L = \frac{3.5L}{3.5}[/tex]
L = ≈ 68.57 or 68.571428 (but this is repeating decimals so I rounded it)
Find W
[tex]\frac{3}{4} L[/tex]
[tex]\frac{3}{4} * 68.57[/tex] = 51.4275
Or if you want unrounded version 51.428571 (repeating decimals)
