Question

the base of an isosceles triangle measures x centimeters. the other two legs of the triangle are 2 centimeters longer than the base. which expression represents the perimeter of the triangle?\
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a. 3x + 4\
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b. 3x + 2\
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c. 2x + 4\
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d. 2x + 2

Explanation:

Step1: Define side lengths

Base: $x$ cm; Each leg: $x+2$ cm

Step2: Sum all sides for perimeter

$\text{Perimeter} = x + (x+2) + (x+2)$

Step3: Simplify the expression

$\text{Perimeter} = x + x + 2 + x + 2 = 3x + 4$

Answer:

A. $3x + 4$