Calculate Trapezoid Perimeter: Finding the Sum of 10, 12, and Two 7-Unit Sides

Question

Calculate the perimeter of the trapezoid according to the following data:

777101010777121212AAABBBCCCDDD

Video Solution

Step-by-Step Solution

To solve this problem, we'll calculate the perimeter of the trapezoid by summing the lengths of all its sides. The steps are as follows:

  • List the lengths of the sides: the bases are 1010 and 1212, and the two non-parallel sides are each 77.
  • Apply the perimeter formula for a trapezoid: P=a+b+c+d P = a + b + c + d .
  • Substitute the given values into the formula: P=10+12+7+7 P = 10 + 12 + 7 + 7 .
  • Calculate the sum: P=10+12+7+7=36 P = 10 + 12 + 7 + 7 = 36 .

Therefore, the perimeter of the trapezoid is 36 36 .

This matches the correct answer choice from the provided options.

Answer

36