The lengths of the sides of a triangle are x,2x+1,5x+4inches. If the perimeter is 53inches, what is the value of x?
that is
three
To find the value of x, we can use the formula for the perimeter of a triangle, which is the sum of the lengths of all three sides.
Perimeter = x + (2x+1) + (5x+4)
We know that the perimeter is given as 53 inches, so we can set up an equation:
53 = x + (2x+1) + (5x+4)
Now we can simplify and solve for x:
Combine like terms:
53 = 8x + 5
Subtract 5 from both sides:
48 = 8x
Divide both sides by 8:
x = 6
So the value of x is 6.