Question

Please help??????????

Answer 1

Answer:

x = 16

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

As the sides of a square are equal in length, the perimeter of a square is four times the length of one side.

$\begin{aligned}\implies \textsf{Perimeter of the square}&=4(x+2)\\& = 4x+8\end{aligned}$

$\begin{aligned}\implies \textsf{Perimeter of the triangle}&=2x+2x+(x-8)\\&=4x+x-8\\&=5x-8\end{aligned}$

If the perimeter of the triangle and the perimeter of the square are equal then:

$\begin{aligned}\implies\textsf{Perimeter of the triangle}&=\textsf{Perimeter of the square}\\5x-8&=4x+8\\5x-8-4x&=4x+8-4x\\x-8&=8\\x-8+8&=8+8\\x&=16\end{aligned}$

Therefore, the value of x is 16.

Answer 2

Answer:

Equation: 2x +2x +x -8= 4(x +2)

x= 16

Step-by-step explanation:

The perimeter is the total length of the sides of a particular shape or figure.

Given that the triangle and square have an equal perimeter,

Perimeter of triangle= perimeter of square

Since a square has 4 equal sides,

2x +2x +x -8= 4(x +2)

Let's solve the above equation.

Simplify and expand:

5x -8= 4x +8

Move x terms to the left of the equation, constants to the right.

5x -4x= 8 +8

x= 16

Thus, the value of x is 16.

For more questions on perimeter, check out: brainly.com/question/27996921