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Answer :
To solve the problem, we need to set up an equation to find the value of [tex]\( x \)[/tex], which represents one of the equal sides of the isosceles triangle.
We're given:
- The perimeter of the triangle is [tex]\( 7.5 \)[/tex] meters.
- The shortest side, [tex]\( y \)[/tex], is [tex]\( 2.1 \)[/tex] meters.
In an isosceles triangle, there are two equal sides. Therefore, if we let the equal sides each be [tex]\( x \)[/tex], then the sides of the triangle are [tex]\( x \)[/tex], [tex]\( x \)[/tex], and [tex]\( y \)[/tex] (where [tex]\( y = 2.1 \)[/tex]).
The formula for the perimeter is:
[tex]\[ \text{Perimeter} = x + x + y = 2x + y \][/tex]
Since the perimeter is [tex]\( 7.5 \)[/tex] meters, we can substitute the given values into the formula:
[tex]\[ 2x + 2.1 = 7.5 \][/tex]
This equation allows us to find the value of [tex]\( x \)[/tex].
Therefore, the correct equation from the list provided to solve for [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
We're given:
- The perimeter of the triangle is [tex]\( 7.5 \)[/tex] meters.
- The shortest side, [tex]\( y \)[/tex], is [tex]\( 2.1 \)[/tex] meters.
In an isosceles triangle, there are two equal sides. Therefore, if we let the equal sides each be [tex]\( x \)[/tex], then the sides of the triangle are [tex]\( x \)[/tex], [tex]\( x \)[/tex], and [tex]\( y \)[/tex] (where [tex]\( y = 2.1 \)[/tex]).
The formula for the perimeter is:
[tex]\[ \text{Perimeter} = x + x + y = 2x + y \][/tex]
Since the perimeter is [tex]\( 7.5 \)[/tex] meters, we can substitute the given values into the formula:
[tex]\[ 2x + 2.1 = 7.5 \][/tex]
This equation allows us to find the value of [tex]\( x \)[/tex].
Therefore, the correct equation from the list provided to solve for [tex]\( x \)[/tex] is:
[tex]\[ 2.1 + 2x = 7.5 \][/tex]
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