A rectangle has a perimeter of 26 feet. Twice its length (l) is one foot more than three times its width (w). What is the length of the rectangle, in feet?

A.

5

B.

13

C.

8

D.

16

thank you to all who help me on this :)

Question

A rectangle has a perimeter of 26 feet. Twice its length (l) is one foot more than three times its width (w). What is the length of the rectangle, in feet?






A. 


5 




B. 


13 




C. 


8 




D. 


16 
 
thank you to all who help me on this :)

texaschic101 · Answer

P = 2L + 2W (formula for perimeter of rectangle)

P = 26

2L = 3W + 1
L = (3W + 1)/2

now we sub
26 = 2(3W + 1)/2 + 2W
26 = 3W + 1 + 2W
26 = 5W + 1
26 - 1 = 5W
25 = 5W
5 = W

2L = 3W + 1
2L = 3(5) + 1
2L = 15 + 1
2L = 16
L = 8

check..
P = 2L + 2W
26 = 2(8) + 2(5)
26 = 16 + 10
26 = 26 (correct)

Length is 8