Question

I need to know the value of X PLEASE HELP

Answer 1

x=4

Explanation:

Objective: Use our knowledge of geometry and Algebra to solve solutions.

. These figures need to have the same perimeter. In order for shapes, to have same perimeter, they need to be congruent, We must add all sides of both triangles and set them equal to each other. Remember, the perimeter formula for Rectangle is 2l+2w.

2(4x)+2(x-6)=2(2x)+2(x+2)

8x+2x-12=4x+2x+4

10x-12=6x+4

4x-12=4

4x=16

x=4

Answer 2

x = 4

Explanation:

So the perimeters need to be equal, so we can substitute the expressions of each rectangle of each of their own respective perimeters are equal to each other and work from there.

2x + 2x + (x + 2) + (x + 2) = 4x + 4x + (x - 6) + (x - 6)

simplify both sides

6x + 4 = 10x - 12

subtract 6x on both sides

4 = 4x - 12

add 12 on both sides

16 = 4x

divide by 4 on both sides

x = 4