Question

Please save for x the. The perimeter

Answer 1

x =1

Explanation:

Perimeter of a square = 4(a)

Where a = side=2x+3

`P = 4(a)\\P= 4(2x+3)\\Perimeter \: = 8x +12`

Perimeter of a triangle =

`a +b +c`

`3x + 2(x+3) +5x+4\\3x +2x +6 +5x+4\\Simplify\\: \\3x+2x+5x = 10x\\6+4 =10\\\\= 10x+10`

`8x +12 = 10x+10\\Collect like terms\\8x -10x = 10-12\\-2x =-2\\Divide\:both\:sides\:of\:the\:equation\:by \:-2\\(-2x)/(-2) = (-2)/(-2) \\\\x = 1`

Answer 2

x = 1

Explanation:

The perimeter of the square is 4(2x + 3) = 8x + 12 and the perimeter of the triangle is 3x + 2(x + 3) + 5x + 4 = 10x + 10. Since they are equal, we can write:

8x + 12 = 10x + 10

-2x = -2

x = 1