Math Problem Statement

Calculate the perimeter of a trapezoid with sides of 13 inches, 9 inches, 7 inches, and a fourth side (bottom side) not explicitly given.

Solution

The image shows a trapezoid with the following side lengths:

  • Top side: 13 inches
  • Left side: 9 inches
  • Right side: 7 inches
  • Bottom side: (not explicitly given but inferred as a straight horizontal side)

To calculate the perimeter PP of the trapezoid, we add all the sides together:

P=13in+9in+7in+bottom sideP = 13 \, \text{in} + 9 \, \text{in} + 7 \, \text{in} + \text{bottom side}

However, the length of the bottom side isn't given. If we assume the bottom side is parallel and equal in length to the top side (13 inches), we can calculate:

P=13in+9in+7in+13in=42inP = 13 \, \text{in} + 9 \, \text{in} + 7 \, \text{in} + 13 \, \text{in} = 42 \, \text{in}

Thus, the perimeter of the trapezoid is 42 inches.

Would you like more details or have any questions?

Related Questions:

  1. How do you calculate the area of a trapezoid?
  2. What properties define a trapezoid?
  3. How do you find the perimeter if only three sides are known?
  4. Can a trapezoid have right angles, and how would that affect the perimeter?
  5. How do you calculate the length of the fourth side if the trapezoid is isosceles?

Tip: Remember that the perimeter is the total distance around a shape, so ensure all sides are accounted for.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter of polygons
Trapezoid properties

Formulas

Perimeter of a polygon: P = sum of all sides

Theorems

Basic properties of trapezoids: A trapezoid has at least one pair of parallel sides.

Suitable Grade Level

Grades 6-8