Question

solve for x. 11 ft (5x + 11) ft 61 ft

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, the sum of two adjacent sides is equal to the sum of the other two adjacent sides. Here, we can set up the equation \(11+(5x + 11)=61\).

Step2: Simplify the left - hand side of the equation

First, simplify \(11+(5x + 11)\) to \(5x+22\). So the equation becomes \(5x + 22=61\).

Step3: Isolate the term with \(x\)

Subtract 22 from both sides of the equation: \(5x+22 - 22=61 - 22\), which gives \(5x=39\).

Step4: Solve for \(x\)

Divide both sides of the equation by 5: \(x=\frac{39}{5}=7.8\).

Answer:

\(x = 7.8\)