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 equation

Given the equation \(53 = 3x+8\times4\). First, calculate \(8\times4 = 32\). So the equation becomes \(53=3x + 32\).

Step2: Isolate the term with \(x\)

Subtract 32 from both sides of the equation. \(53-32=3x+32 - 32\). Which gives \(21 = 3x\).

Step3: Solve for \(x\)

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

Answer:

\(x = 7\)