Question

1. the perimeter of an equilateral triangle is 63 inches. if the length of each side is (4x - 3), find the value of x.

Explanation:

Step1: Set up perimeter equation

An equilateral triangle has 3 equal sides, so perimeter = $3\times(4x-3)$. Set equal to 63:
$$3(4x - 3) = 63$$

Step2: Divide both sides by 3

Simplify the equation by dividing each side by 3:
$$4x - 3 = \frac{63}{3} = 21$$

Step3: Isolate the term with x

Add 3 to both sides to isolate $4x$:
$$4x = 21 + 3 = 24$$

Step4: Solve for x

Divide both sides by 4 to find x:
$$x = \frac{24}{4} = 6$$

Answer:

$x=6$