Question

The length of a rectangle is 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(w) + w
B.
w + w
C.
3w +
D.
6w + 5

Answer 1

The expression that gives the perimeter of the rectangle in terms of w is 6w+5 units.

Given that, the length of the rectangle is $\frac{5}{2}$ units greater than twice its width.

We need to determine the expression that gives the perimeter of the rectangle in terms of w.

Given, width = w units, then length= 2w + $\frac{5}{2}$ units.

What is the perimeter of the rectangle?

The perimeter of the rectangle is the sum of all the sides of the rectangle.

That is, perimeter of a rectangle = 2 (length+width).

Now, perimeter of a rectangle = 2 (2w + $\frac{5}{2}$+w)=6w+5 units.

Hence, the expression that gives the perimeter of the rectangle in terms of w is 6w+5 units.

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