The length of a rectangle is 5 centimeters less than twice its width. the perimeter of the rectangle is 26 cm. what are the dimensions of the rectangle? a. length = 7 cm; width = 6 cm b. length = 4 cm; width = 9 cm c. length = 6 cm; width = 7 cm d. length = 5 cm; width = 5 cm

A. length = 7 cm; width = 6 cm

Use w to represent width, p as perimeter, and l for length.

l = 2w - 5

2l + 2w = p
2(2w - 5) + 2w = 26
4w - 10 + 2w = 26
6w - 10 = 26
6w = 36
w = 6

The only option with a width of 6 is A.
To check your answer, you can plug it in.
2(6) - 5 = 12 - 5 = 7

Hope this helps.