Question 120441This question is from textbook Algebra I
: the perimeter of the rectangle is 34 cm. the perimeter of teh triangle is 30 cm. Find the values of m and n.
Shown rectangle with short side of m and long side n.
Right triangle with short side m, base n, and hypotenuse n+1.
This question is from textbook Algebra I
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! the perimeter of the rectangle is 34 cm. the perimeter of teh triangle is 30 cm. Find the values of m and n.
Shown rectangle with short side of m and long side n.
Right triangle with short side m, base n, and hypotenuse n+1.
:
Using the given information:
Rectangle perimeter:
2n + 2m = 34
:
Triangle perimeter:
n + m + (n+1) = 30
2n + m = 30 - 1
2n + m = 29
:
Use elimination from the two equations
2n + 2m = 34
2n + m = 29
----------------subtracting eliminates n, find m
0n + m = 5
:
Find n using the triangle perimeter equation:
2n + m = 29
2n + 5 = 29
2n = 29 - 5
2n = 24
n = 12
:
Check solution using the rectangle perimeter:
2(12) + 2(5) = 34
:
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