Question

which of the following equations corresponds to the diagram? diagram with two rectangles labeled y + 2 and y + 2, total 36 answer: 2y + 2 = 36; 2 = 36(y + 2); y + 2 = 36; 36 = 2(y + 2)

Explanation:

Step1: Analyze the diagram

The diagram shows two segments of length \(y + 2\) each, and the total length is 36.

Step2: Set up the equation

Since there are two parts of length \(y+2\) and the sum is 36, we use the formula \(a + a=b\) (where \(a=y + 2\) and \(b = 36\)). So, \(36=(y + 2)+(y + 2)\).
Using the distributive property \(a\times c+b\times c=(a + b)\times c\) (here \(a=y,b = y,c = 2\)), we can rewrite \((y + 2)+(y + 2)\) as \(2(y+2)\). So the equation is \(36 = 2(y + 2)\).

Answer:

\(36 = 2(y + 2)\) (assuming this is one of the options, if the options are \(A.2y+2 = 36\), \(B.2 = 36(y + 2)\), \(C.y+2 = 36\), \(D.36 = 2(y + 2)\), then the answer is \(D.36 = 2(y + 2)\))