SOLUTION: Hello, I need help in how to translate the following problem into an algebraic equations. I have to identify the variables, constants, and coefficients in the equation and then ma

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Question 433201: Hello, I need help in how to translate the following problem into an algebraic equations. I have to identify the variables, constants, and coefficients in the equation and then make the equation with only one variable and simplify the equation on both sides until there are no parentheses and like terms have been combined. I am so confused. Thank you for your help.
1.Tom�s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
1.a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards.
The shortest side is 30 yards longer than one-half of the longest side.
The second longest side is 2 yards shorter than the longest side.
What is the length of each side?
:
Let x = the length of the longest side
:
"The shortest side is 30 yards longer than one-half of the longest side.", therefore:
(.5x+30) = the shortest side
:
"The second longest side is 2 yards shorter than the longest side.", therefore;
(x-2) = the 2nd longest side
:
"The perimeter fence that surrounds the land measures 378 yards. "
x + (.5x+30) + (x-2) = 378
Combine like terms
2.5x + 28 = 378
2.5x = 378 - 28
2.5x = 350
x =
x = 140 yds is the longest side
then
.5(140) + 30 = 100 yds is the shortest side
and
140-2 = 138 yds is the 2nd side
;
:
:
Check the perimeter using these values
140 + 100 + 138 = 378
:
Did this unconfuse you somewhat?