Question

for problems #5 - 6, simplify.

1. find the perimeter of the figure below. simplify your answer.

Explanation:

Step1: Identify side - lengths

The side - lengths of the figure are \(x\), \(2x\), \(4x\), \(y\), \(2x\), \(x + y\).

Step2: Add side - lengths for perimeter

\(P=x + 2x+4x + y+2x+(x + y)\)

Step3: Combine like terms

\(P=(x + 2x+4x+2x+x)+(y + y)\)
\(P = 10x+2y\)

Answer:

\(10x + 2y\)