Solve for X in a Trapezoid: Perimeter = 30.3 with Side 12x

Question

Calculate x in the trapezoid below.

P = Perimeter

12x12x12x8.78.78.7xxxp=30.32.4

Step-by-Step Solution

To find x x in the trapezoid with a given perimeter P=30.3 P = 30.3 , we follow these steps:

  • Step 1: Write the perimeter equation using all sides: 12x+8.7+x+2.4=30.3 12x + 8.7 + x + 2.4 = 30.3 .
  • Step 2: Combine like terms: 13x+11.1=30.3 13x + 11.1 = 30.3 .
  • Step 3: Isolate x x by subtracting 11.1 from both sides: 13x=19.2 13x = 19.2 .
  • Step 4: Solve for x x by dividing both sides by 13: x=19.2131.477 x = \frac{19.2}{13} \approx 1.477 .

Therefore, the solution to the problem is x=1.477 x = 1.477 .

Answer

1.477