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6 votes
I need equation and solution. The perimeter of an equilateral triangle is

63 inches. If the length of each side is
(4x - 3), find the value of x. The
On sur
park.
and 2
$104
adul
Equation:
4x-3
4X-3
4x-3
fall need to be equal
Solution:

I need equation and solution. The perimeter of an equilateral triangle is 63 inches-example-1
User Bandit
by
8.7k points

2 Answers

1 vote

Answer:

The value of x is 6.

Step-by-step explanation:

Question :

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


\begin{gathered}\end{gathered}

Solution :

As we know that the formula of perimeter of equilateral triangle is 3a.

Now, according to the question :


\begin{gathered}\longrightarrow\sf{Perimeter = 3a}\end{gathered}


\begin{gathered}\longrightarrow\sf{63 = 3(4x - 3)}\end{gathered}


\begin{gathered}\longrightarrow\sf{63 = (4x * 3 - 3 * 3)}\end{gathered}


\begin{gathered}\longrightarrow\sf{63 = (12x - 9)}\end{gathered}


\begin{gathered}\longrightarrow\sf{63 = 12x - 9}\end{gathered}


\begin{gathered}\longrightarrow\sf{12x = 63 + 9}\end{gathered}


\begin{gathered}\longrightarrow\sf{12x = 72}\end{gathered}


\begin{gathered}\longrightarrow\sf{x = (72)/(12)}\end{gathered}


\begin{gathered}\longrightarrow\sf{x = 6}\end{gathered}


\begin{gathered} \star{\underline{\boxed{\sf{\red{x = 6}}}}}\end{gathered}

Hence, the value of x is 6.


\rule{300}{2.5}

I need equation and solution. The perimeter of an equilateral triangle is 63 inches-example-1
User Jeanot Zubler
by
8.3k points
8 votes

Answer:

  • The value of x is 6.

Explanation:

We know that:

  • Perimeter of triangle = 3(4x - 3) = 63 in.

Work:

  • 3(4x - 3) = 63 in.
  • => 12x - 9 = 63 in.
  • => 12x = 72 in.
  • => x = 72/12
  • => x = 6

Hence, the value of x is 6.

Hoped this helped.


BrainiacUser1357

User Martin Zahariev
by
8.7k points
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