SOLUTION: Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?
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Question 992784: Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?
Which equation represents this?
Found 2 solutions by Cromlix, stanbon:
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Dwayne's garden is an isosceles triangle.
Two equal sides (and two equal angles)
Length of an equal side = 'x'
Length of other side(s) = x + 4
Perimeter = the 3 sides added together.
49 = x + x + (x + 4)
49 = x + x + x + 4
Collect like terms
3x = 49 - 4
3x = 45
x = 15.
Two equal sides = 15 ft
Third side = 19 ft
Hope this helps :-)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?
Which equation represents this?
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Sketch a picture of this isosceles triangle: equal sides are "x"; base = (x+4).
Equation:
x + x + x+4 = 49
3x = 45
x = 15 (length of each of the equal sides)
x+4 = 19 (length of the base)
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Cheers,
Stan H.
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