Question

The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?

A.
2(5/2w) + w
B.
5/2w + w
C.
3w + 10/2
D.
6w + 5

Answer 1

6w+5

Explanation:

If width=w then twice the width is 2w and 2w+5/2 is 5/2 units greater than twice the width. The perimeter is 2(width+length)=2(w+2w+5/2)=2(3w+5/2)=6w+5.

Answer 2

Width = w

Length = 2w + 5/2

Perimeter = 2(Length + Width)

Perimeter = 2( w + 2w + 5/2)

Perimeter = 2(3w + 5/2)

Perimeter = 6w + 5

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Answer: The perimeter is 6w + 5 (Answer D)

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