Length of a rectangle is 5 cm less than twice its width. The perimeter of the rectangle is 26 cm

1 answer

Let w = width
Let 2w - 5 = length (according to first statement)
Then we set up the equation. Recall that the perimeter of a rectangle is equal to
P = 2L + 2W
where L is length and W is width. Thus,
26 = 2(2w - 5) + 2w
We solve for x:
26 = 4w - 10 + 2w
26 = 6w - 10
36 = 6w
w = 6 cm (width)
2w-5 = 7 cm (length)

Hope this helps~ :3