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(5w/2) + w

b. 5w/2 + w

c. 3w + 10/2

d. 6w + 5
please help me quickly

Answer 1

d

Explanation:

the length is how many units greater than twice the width ?

you skipped that information from us.

so, all we can say

length = 2×width + x

the perimeter is

2×length + 2×width

with width = w we get by using the first equating in the second :

2×(2×w + x) + 2×w = 4w +2x + 2w = 6w + 2x

so the right answer must be d.

it is the only option with "6w".

it means that 2x = 5 and x = 2.5.

so it was that the length is 2.5 units greater than twice the width