Answer:
Width: 450 feet
Length: 720 feet
Step-by-step explanation:
So we start with the equation to find the perimeter -
2l + 2w = p
l = length
w = width
p = perimeter
We insert the 2,340 ft as the perimeter -
2l + 2w = 2,340 ft
Now we find another equation for the "length is 270 ft greater than width" -
l = 270 ft + w
Using substitution, we substitute the y in the first equation with 270 ft + w -
2 (270 ft + w) + 2w = 2,340 ft
540 ft + 2w + 2w = 2,340 ft
540 ft + 4w = 2,340 ft
4w = 2,340 ft - 540 ft
4w = 1,800 ft
w = 1,800 ft / 4
w = 450 ft
Now to find the width we substitute the w with 450 ft -
l = 270 ft + w
l = 270 ft + 450 ft
l = 720 ft
Check -
2 * 720 ft + 2 * 450 ft = 2,340 ft
1,440 ft + 900 ft = 2,340 ft
2,340 ft = 2,340 ft (Correct)
translates to 