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???
However we can't do this, because a square has 4sides whilst a triangle only has 3 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)