Respuesta :
Answer:
Width of the rectangular field =[tex]102 feet[/tex]
Step-by-step explanation:
Perimeter of the field= [tex]300feet[/tex]
Length of the field= [tex]48 feet[/tex]
Width=?
Perimeter of a rectangular field= [tex]2(Length+Width)[/tex]
[tex]300= 2(48+Width)\\\\150=48+Width\\\\Width=150-48\\\\Width=102 feet[/tex]
The Width of the rectangular field is [tex]102 feet[/tex]
Answer: the length is 99 feet and the width is 51 feet.
Step-by-step explanation:
Let L represent the length of the playing field.
Let W represent the width of the playing field.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a playing field for a certain sport is 300ft. This means that
2(L + W) = 300
Dividing through by 2, it becomes
L + W = 150 - - - - - - - - - - - --1
The field is a rectangle, and the length is 48ft longer than the width. This means that
L = W + 48
Substituting L = W + 48 into equation 1, it becomes
W + 48 + W = 150
2W + 48 = 150
2W = 150 - 48
2W = 102
W = 102/2
W = 51
L = W + 48 = 51 + 48
L = 99
