The length of a rectangular playing feild is 5ft lessthan twice the width. If the perimeter of the playing field is 230ft, what is the length of the playing field.
x=length
y=width
we know:
2x+2y=230
x+5=2y
Solve using systems.
Easiest is to substitute x+5 for 2y into the first equation:
2x+x+5=230
then solve for x
To solve the system of equations using substitution, we will substitute the expression x + 5 for 2y in the first equation:
2x + 2y = 230
Substituting x + 5 for 2y:
2x + (x + 5) = 230
Now, combine like terms:
3x + 5 = 230
Next, we need to isolate x, so subtract 5 from both sides of the equation:
3x + 5 - 5 = 230 - 5
3x = 225
Finally, divide both sides of the equation by 3 to solve for x:
x = 225 / 3
x = 75
So the length of the playing field, x, is 75 ft.