A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?

Answer:
98 yards
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
The length of the park was 98 yds, before the path was built.
Answer:
98 yards
Step-by-step explanation:
First we will list our values
new w: 42
old w: 40
old l: x
new l: x+2
we are adding 2 to the new values as there is 1 yard on either side
now we will find the new area:
42 * (x+2) =4200
42x+84=4200
42x=4116
x=98