Calculate the Trapezoid's Perimeter: Using Given Base and Side Lengths
Question
Calculate the perimeter of the trapezoid below:
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 (a): 12.28 units
Bottom base (b): 17.5 units
Left non-parallel side (c): 5.1 units
Right non-parallel side (d): 6 units
Step 2: Apply the formula for the perimeter, which states: P=a+b+c+d
Step 3: Substitute the known values into the formula: P=12.28+17.5+5.1+6
Step 4: Perform the addition:
Calculating the sum:
12.28+17.5=29.78
29.78+5.1=34.88
34.88+6=40.88
Hence, the perimeter of the trapezoid is 40.88 units.