Question

"Write an algebraic equation to represent the following scenario:

A triangle with a perimeter of 24 has lengths of
2x-3,
2 + 4x."

Answer 1

To represent the scenario of a triangle with a perimeter of 24 and side lengths of 2x-3 and 2 + 4x, we can write the equation: (2x-3) + (2+4x) + (2+4x) = 24

Step-by-step explanation:

To represent the scenario of a triangle with a perimeter of 24 and side lengths of 2x-3 and 2 + 4x, we can write the equation:

(2x-3) + (2+4x) + (2+4x) = 24

Simplifying, we get:

2x - 3 + 2 + 4x + 2 + 4x = 24

Combining like terms, we have:

10x - 3 + 4 = 24

Simplifying further:

10x + 1 = 24

Now, subtracting 1 from both sides:

10x = 23

Finally, dividing both sides by 10:

x = 2.3