Problema Solution
the length of a rectangular board is 11 feet less than 4 times the width
write an equation that represents the perimeter (P) given width (W)
the perimeter of the board is 28 feet. what are the deminsions of the board?
Answer provided by our tutors
W = the width
L = the length
P = 28 ft the perimeter
the length of a rectangular board is 11 feet less than 4 times the width:
L = 4W - 11
since the perimeter P = 2(L + W) we have
2(L + W) = 28 divide both sides by 2
L + W = 14
by solving the system of equations:
L = 4W - 11
L + W = 14
we find
L = 9 ft
W = 5 ft
click here to see the step by step solution of the system of equations:
the dimensions of the board are: the length is 9 ft and the width is 5 ft.