Answer :
To solve this problem, let's break it down step by step:
1. Understand the given information:
- We have an isosceles triangle with a perimeter of 7.5 meters.
- The shortest side, denoted as [tex]\( y \)[/tex], measures 2.1 meters.
- In an isosceles triangle, two sides are of equal length. Let’s assume those two equal sides are each [tex]\( x \)[/tex].
2. Set up the equation:
- The perimeter of a triangle is the sum of the lengths of all its sides.
- Since the triangle is isosceles with two sides equal, the equation for the perimeter can be written as:
[tex]\[
y + 2x = \text{perimeter}
\][/tex]
3. Substitute the known values:
- We know [tex]\( y = 2.1 \)[/tex] meters and the perimeter is 7.5 meters. Substitute these into the equation:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
4. Select the correct option:
- This matches one of the options given: [tex]\( 2.1 + 2x = 7.5 \)[/tex].
Therefore, the equation [tex]\( 2.1 + 2x = 7.5 \)[/tex] can be used to find the value of [tex]\( x \)[/tex].
1. Understand the given information:
- We have an isosceles triangle with a perimeter of 7.5 meters.
- The shortest side, denoted as [tex]\( y \)[/tex], measures 2.1 meters.
- In an isosceles triangle, two sides are of equal length. Let’s assume those two equal sides are each [tex]\( x \)[/tex].
2. Set up the equation:
- The perimeter of a triangle is the sum of the lengths of all its sides.
- Since the triangle is isosceles with two sides equal, the equation for the perimeter can be written as:
[tex]\[
y + 2x = \text{perimeter}
\][/tex]
3. Substitute the known values:
- We know [tex]\( y = 2.1 \)[/tex] meters and the perimeter is 7.5 meters. Substitute these into the equation:
[tex]\[
2.1 + 2x = 7.5
\][/tex]
4. Select the correct option:
- This matches one of the options given: [tex]\( 2.1 + 2x = 7.5 \)[/tex].
Therefore, the equation [tex]\( 2.1 + 2x = 7.5 \)[/tex] can be used to find the value of [tex]\( x \)[/tex].
