## a square has the sides length 2k-1 units. An equilateral triangle has the sides of the length k+2 units. the square and the triangle have th

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## Answers ( No )

I think that you assumed that:

2k – 1 = k + 2

However we can’t do this, because a square has

4sideswhilst a triangle only has3sides.This means that we can say

4(2k – 1) =3(k + 2)We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.

Lets expand the brackets, and solve it:

4(2k – 1) = 3(k + 2)

8k -4 = 3k + 6

5k -4 = 6 ( subtract both sides by 3x to collect the x values)

5k = 10 (add both sides by 4 to get the x’s alone)

k =

2(divide both sides by 5 to get what just x is)So k = 2 units