Answer :
The width of the rectangle will be 56 meters.
What is a perimeter?
The perimeter is defined as the sum of all the sides of any shape. For the rectangle, the perimeter will be the sum of all the sides of the rectangle.
Given that the perimeter of a rectangle is 256 m. The length is 16 m greater than the width.
The width will be calculated by forming the expression from the given information.
P = 2 ( l + w )
l = w + 16
P = 2 ( w + 16 + w )
P = 2 ( 2w + 16 )
P = 4w + 32
256 = 4w + 32
4w = 256 - 32
4w = 22
w = 56 meters
Therefore, the width of the rectangle will be 56 meters.
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