The length of the rectangle is 99 yards.
What is perimeter?
A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.
Given: The perimeter of a rectangular field is 362 yards.
The width of the field is 82 yards.
We have to find the length of the rectangle.
Let x is the length of the rectangle and y is the width of the rectangle.
By the definition of perimeter,
x + x + y + y = 362
2x + 2y = 362
Plug y = 82
2x + 2(82) = 362
2x + 164 = 362
2x = 362 - 164
2x = 198
x = 99
Therefore, the length of the rectangle is 99 yards.
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