Question

find the perimeter of the triangle. 23. 7 in. (x + 4) in. (4x + 1) in.

Explanation:

Step1: Recall the formula for the perimeter of a triangle

The perimeter \(P\) of a triangle is the sum of the lengths of its sides. If the side - lengths are \(a\), \(b\), and \(c\), then \(P=a + b + c\). Here, \(a = 7\), \(b=(x + 4)\), and \(c=(4x + 1)\).

Step2: Substitute the values into the formula

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$$

Step3: Remove the parentheses

$$
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$$

Step4: Combine like terms

Combine the \(x\) - terms (\(x+4x\)) and the constant terms (\(7 + 4+1\)).

$$
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$$

Answer:

The perimeter of the triangle is \((5x + 12)\) inches.