Answer :
We begin by noting that the perimeter of the triangle is the sum of its three sides. Since the triangle is isosceles, it has two equal sides of length [tex]$x$[/tex] and a third side of length [tex]$y$[/tex]. The perimeter is given by:
[tex]$$
2x + y = 7.5
$$[/tex]
We are told that the shortest side [tex]$y$[/tex] measures [tex]$2.1\text{ m}$[/tex]. Substituting [tex]$y = 2.1$[/tex] into the equation, we have:
[tex]$$
2x + 2.1 = 7.5
$$[/tex]
This equation is the one that can be used to find the value of [tex]$x$[/tex]. Thus, the correct equation is:
[tex]$$
2.1 + 2x = 7.5
$$[/tex]
This corresponds to the fourth option.
[tex]$$
2x + y = 7.5
$$[/tex]
We are told that the shortest side [tex]$y$[/tex] measures [tex]$2.1\text{ m}$[/tex]. Substituting [tex]$y = 2.1$[/tex] into the equation, we have:
[tex]$$
2x + 2.1 = 7.5
$$[/tex]
This equation is the one that can be used to find the value of [tex]$x$[/tex]. Thus, the correct equation is:
[tex]$$
2.1 + 2x = 7.5
$$[/tex]
This corresponds to the fourth option.
