SOLUTION: What is the solution to Tambria's property has the shape of a trapezoid with the dimensions shown. If the perimeter of the property is 3,279 feet,what is the value of x? x+27 x+74

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Question 122569: What is the solution to Tambria's property has the shape of a trapezoid with the dimensions shown. If the perimeter of the property is 3,279 feet,what is the value of x? x+27 x+74 x+274 x
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Discussion



The perimeter of a general trapezoid is simply the sum of the 4 sides.
P%5BT%5D=s%5B1%5D%2Bs%5B2%5D%2Bs%5B3%5D%2Bs%5B4%5D





Solution



You are given expressions for the 4 sides:
s%5B1%5D=x%2B27
s%5B2%5D=x%2B74
s%5B3%5D=x%2B274
s%5B4%5D=x
And you are given the perimeter, P%5BT%5D=3279

Although the problem doesn't state, you must assume that the constant values
in the expressions for three of the sides are in feet since the perimeter is
given in feet. Without this assumption, the problem cannot be solved as
stated.
Combining the given information into the formula for the perimeter we have:
%28x%2B27%29%2B%28x%2B74%29%2B%28x%2B274%29%2Bx=3279

Combining like terms we have:
4x+%2B+375=3279

Add -375 to both sides:
4x=2904

And divide by 4:
x=726





Check Answer



s%5B1%5D=726%2B27=753
s%5B2%5D=726%2B74=800
s%5B3%5D=726%2B274=1000
s%5B4%5D=726
and
753%2B800%2B1000%2B726=3279: Answer checks.