Final answer:
To find the value of x for the given triangle with a perimeter of 29 feet, we set up an equation based on the algebraic expressions for the sides and solved for x. The calculation shows that x is approximately 9.33 feet.
Step-by-step explanation:
The student has provided the lengths of the sides of a triangle as algebraic expressions and the perimeter of the triangle. To find the value of x, we start by writing an equation that represents the perimeter of the triangle:
(c + 5) feet + (2x – 3) feet + (x - 1) feet = 29 feet.
Since the value of c is not given and not necessary to find x, we can simplify the equation to include only terms with x:
2x + x + (5 – 3 – 1) = 29
Combine like terms:
3x + 1 = 29
Subtract 1 from both sides to solve for x:
3x = 28
Divide both sides by 3:
x = ≈ 9.33, which we can round to 9.33 when considering that x is a measurement and can be a non-integer value.