Respuesta :
Answer:
w = 49 ft and l = 84ft
Step-by-step explanation:
P = 266
The formula for perimeter = 2(l+w)
We know the length is 35 more than the width
l = w+35
Substituting in for Perimeter
266 =2(l+w)
Now replacing l with w+35
266 =2(w+35+w)
Combine like terms
266 = 2(2w+35)
Divide each side by 2
266/2 = 2/2 (2w+35)
133 = 2w+35
Subtract 35 from each side
133-35 = 2w+35-35
98 = 2w
Divide by 2
98/2 = 2w/2
49 =w
We still need to find l
l = w +35
l = 49+35
l = 84
Hello there,
The perimeter of a basketball court is 266 ft, and its length is 35 ft more than its width. Find the dimensions of the court.
Answer: w = 49 ft and l = 84ft
266 = 2(35+x+x)
266/2=35+2x
133=35+2x
133-35=35-35+2x
98=2x
98/2=2x/2
49=x
We already know the length is 35, so
=35+x
=35+49=84ft