SOLUTION: Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm. Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm. What is the per

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm. Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm. What is the per      Log On


   

Question 768176: Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm. Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm. What is the perimeter of the rectangle in cm?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm.
Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm.
What is the perimeter of the rectangle in cm?
:
We can write this as two equations:
:
2L + W = 88
L + 2W = 80
:
multiply the 1st equation by 2, subtract the 2nd equation
4L + 2W = 176
L + 2W = 80
-------------------Subtracting eliminates W, find L
3L = 96
L = 96/3
L = 32 is the length
:
Find the width
32 + 2W = 80
2W = 48
W = 24 is the width
:
I'll let you find the perimeter