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

Question

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 the same perimeter. what is the value of k?

I got k=3 I think I got wrong can someone please correct me???

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Answers ( No )

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    2021-11-15T18:19:13+00:00

    I think that you assumed that:
    2k – 1 = k + 2

    However we can’t do this, because a square has 4 sides whilst a triangle only has sides
    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

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