The perimeter of the triangle is 49 units. Find the value of y.
Side A: y+3
Side B: 4y-2
Side C: 3y
y+3 + 4y-2 + 3y = 49
trivial to solve, you should be able to do it in your head.
To find the value of y, we need to add up the lengths of all three sides of the triangle and set it equal to the given perimeter.
Perimeter = Side A + Side B + Side C
So, we can write the equation as:
49 = (y + 3) + (4y - 2) + (3y)
Now, let's simplify the equation:
49 = y + 3 + 4y - 2 + 3y
Combining like terms:
49 = 8y + 1 + 3
Simplifying further:
49 = 8y + 4y + 1
Combining like terms again:
49 = 12y + 1
Next, let's isolate the variable on one side of the equation. Subtract 1 from both sides:
49 - 1 = 12y
48 = 12y
Now, divide both sides of the equation by 12 to solve for y:
48/12 = 12y/12
4 = y
Therefore, the value of y is 4.
To find the value of y, we need to use the information given about the perimeter of the triangle.
The perimeter of a triangle is the sum of the lengths of all three sides. In this case, the perimeter is given as 49 units.
Therefore, we can set up an equation using the lengths of the sides of the triangle:
(y+3) + (4y-2) + (3y) = 49
Now, we can solve this equation for y:
Combine like terms on the left side:
y + 3 + 4y - 2 + 3y = 49
8y + 1 = 49
Subtract 1 from both sides:
8y = 48
Divide both sides by 8:
y = 6
So, the value of y is 6.