The expression which shows the perimeter in terms of w is option d which is 6w+5.
Expression is a combination of numbers, fraction, symbols, indeterminants, determinants,etc. It shows a relationship between two or more variables. It is mostly not found in equal to form.
We have been given that width be w, so the length will be 2w+5/2.
We know that perimeter of rectangle is 2(l+b)
Perimeter=2(2w+5/2+w)
=2(3w+5/2)
=2(6w+5)/2
=6w+5
Hence the the expression which shows the perimeter of rectangle having width w and length is 5/2 units greater than double the width in terms of w is option d which is 6w+5.
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Question is incomplete as it should includes the length eing 5/2 units greater than double the width.