Question

the perimeter of the triangle shown is 481 feet. find the length of each side.
x feet =
4x feet =
(6x - 3) feet =
(type integers or decimals)

Explanation:

Step1: Set up the perimeter equation

The perimeter of a triangle is the sum of the lengths of its sides. So, $x + 4x+(6x - 3)=481$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $(1 + 4+6)x-3=481$, which simplifies to $11x-3 = 481$.

Step3: Add 3 to both sides

Adding 3 to both sides of the equation $11x-3 = 481$ gives $11x=481 + 3$, so $11x=484$.

Step4: Solve for x

Dividing both sides of the equation $11x=484$ by 11, we get $x=\frac{484}{11}=44$.

Step5: Find the lengths of each side

• First side: $x = 44$ feet.
• Second side: $4x=4\times44 = 176$ feet.
• Third side: $6x-3=6\times44-3=264 - 3=261$ feet.

Answer:

44 feet, 176 feet, 261 feet