Calculate Trapezoid Perimeter: Finding Total Length of 7.5, 4, 1.5, and 3 Units

Question

What is the perimeter of the trapezoid in the figure?

7.57.57.54441.51.51.5333

Video Solution

Solution Steps

00:00 Calculate the perimeter of the trapezoid
00:03 The perimeter of the trapezoid equals the sum of its sides
00:21 Let's substitute appropriate values and solve to find the perimeter
00:45 And this is the solution to the question

Step-by-Step Solution

To find the perimeter of the trapezoid, we will sum the lengths of all its sides. The given side lengths are:

  • Base 1: 7.5 7.5
  • Base 2: 1.5 1.5
  • Leg 1: 3 3
  • Leg 2: 4 4

Using the formula for the perimeter P P of the trapezoid, we have:

P=a+b+c+d P = a + b + c + d

Substituting in the given values:

P=7.5+1.5+3+4 P = 7.5 + 1.5 + 3 + 4

Performing the addition:

P=7.5+1.5=9 P = 7.5 + 1.5 = 9

P=9+3=12 P = 9 + 3 = 12

P=12+4=16 P = 12 + 4 = 16

Therefore, the perimeter of the trapezoid is 16 16 .

Answer

16