Question

the figure shown has a total area of 53 square units. which equation can be used to find the value of x? 53 = 3·x + 8·4 what is the value of x? x = ?

Explanation:

Step1: Simplify the known term

First, calculate the value of \(8 \cdot 4\).
\(8 \cdot 4 = 32\)
So the equation \(53 = 3 \cdot x + 8 \cdot 4\) becomes \(53 = 3x + 32\).

Step2: Isolate the term with \(x\)

Subtract 32 from both sides of the equation to isolate the term with \(x\).
\(53 - 32 = 3x + 32 - 32\)
\(21 = 3x\)

Step3: Solve for \(x\)

Divide both sides of the equation by 3 to solve for \(x\).
\(\frac{21}{3} = \frac{3x}{3}\)
\(7 = x\)

Answer:

\(x = 7\)