Answer:
System of equations
160 = 2W + 2L
W = L - 16
Solution to system of equations
W = 32 ft
L = 48 ft
Step-by-step explanation:
The width is 16 feet less than the length, so the appropriate equation for that is ...
... W = L - 16
Using this expression for W, we can substitute into the equation for perimeter:
... 160 = 2(L - 16) + 2L
... 160 = 4L -32 . . . . . . . collect terms
... 192 = 4L . . . . . . . . . . add 32
... 48 = L . . . . . . . . . . . . divide by 4
... W = 48 -16 = 32 . . . . find W using the relation with L
Length is 48 ft; width is 32 ft.
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