Calculate the Trapezoid's Perimeter: Using Given Base and Side Lengths

Calculate the perimeter of the trapezoid below:

12.2812.2812.2866617.517.517.55.15.15.1

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Step-by-step written solution

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1

Understand the problem

Calculate the perimeter of the trapezoid below:

12.2812.2812.2866617.517.517.55.15.15.1

2

Step-by-step solution

To solve this problem, we'll use the perimeter formula for a trapezoid, which is straightforward since all side lengths are provided:

  • Step 1: Identify the side lengths:
    Top base (aa): 12.2812.28 units
    Bottom base (bb): 17.517.5 units
    Left non-parallel side (cc): 5.15.1 units
    Right non-parallel side (dd): 66 units
  • Step 2: Apply the formula for the perimeter, which states:
    P=a+b+c+d P = a + b + c + d
  • Step 3: Substitute the known values into the formula:
    P=12.28+17.5+5.1+6 P = 12.28 + 17.5 + 5.1 + 6
  • Step 4: Perform the addition:

Calculating the sum:

12.28+17.5=29.78 12.28 + 17.5 = 29.78

29.78+5.1=34.88 29.78 + 5.1 = 34.88

34.88+6=40.88 34.88 + 6 = 40.88

Hence, the perimeter of the trapezoid is 40.8840.88 units.

3

Final Answer

40.88

Practice Quiz

Test your knowledge with interactive questions

AB = 10.5

CD = 13

AC = 7.5

BD = 7.5

Calculate the perimeter of the rectangle ABCD.

10.510.510.57.57.57.51313137.57.57.5AAABBBDDDCCC

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