Question 433201
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 = {{{350/2.5}}}
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?