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? 2x = 49 2x + 4 = 49 3x = 49 3x + 4 = 49
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Given that the Two sides of triangles are equal in length.
Let the length of each of the two equal sides is = x
Also given that the third side is 4 ft more than the length of an equal side.
So length of the Third Side = x + 4
Perimeter = 49 ft (Given)
We know that
Perimeter = Sum of the lengths of all sides
49 = x + x + x + 4
49 = 3x + 4
Rearranging , we have
3x + 4 = 49
3x = 49 - 4
3x = 45
x = 45 / 3
x = 15 ft
So the right equation is 3x + 4 = 49
Length of each of the equal sides = 15 ft
Length of the Third side = 15 + 4 = 19 ft
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