Question

there is a rectangle divided into two parts, each part is labeled a + 1, and the total length is labeled 32. then there are four options for the answer: 2a + 2 = 32; a + 1 = 32; 32 = 2a + 1; 32(a + 1) = 2

Explanation:

Step1: Analyze the total length

The total length is composed of two parts, each of length \(a + 1\).

Step2: Set up the equation

The sum of the two parts \( (a + 1)+(a + 1)\) equals \(32\). Using the distributive property \(2(a + 1)=32\), which expands to \(2a+2 = 32\).

Answer:

\(2a + 2 = 32\)