Find the missing length of the trapezoid shown below, if the perimeter is 71.8. 19 18.4 23 20.6

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem:**

Find the missing length of the trapezoid shown below, if the perimeter is 71.8.

**Diagram Description:**

The image displays a trapezoid with four sides. The bottom base is labeled with a length of 23 units. The left side, slanting upwards, is annotated with a length of 19 units. The right side, also slanting upwards, shows a length of 20.6 units. The top base, opposite the bottom base, has an unknown length marked as "?". A red vertical line inside the trapezoid indicates the height of 18.4 units.

There is a blank input box provided for entering the solution.

**Solution Steps:**

Given:
- Perimeter of the trapezoid = 71.8 units
- Known sides = 19, 20.6, 23 units
- Unknown side = ?

To find the missing side (top base):
1. Add the known side lengths: 19 + 20.6 + 23.
2. Subtract the sum from the total perimeter, 71.8, to find the unknown length.

\[
19 + 20.6 + 23 = 62.6
\]

\[
71.8 - 62.6 = 9.2
\]

**Answer:**

The missing length of the top base is 9.2 units.
Transcribed Image Text:**Problem:** Find the missing length of the trapezoid shown below, if the perimeter is 71.8. **Diagram Description:** The image displays a trapezoid with four sides. The bottom base is labeled with a length of 23 units. The left side, slanting upwards, is annotated with a length of 19 units. The right side, also slanting upwards, shows a length of 20.6 units. The top base, opposite the bottom base, has an unknown length marked as "?". A red vertical line inside the trapezoid indicates the height of 18.4 units. There is a blank input box provided for entering the solution. **Solution Steps:** Given: - Perimeter of the trapezoid = 71.8 units - Known sides = 19, 20.6, 23 units - Unknown side = ? To find the missing side (top base): 1. Add the known side lengths: 19 + 20.6 + 23. 2. Subtract the sum from the total perimeter, 71.8, to find the unknown length. \[ 19 + 20.6 + 23 = 62.6 \] \[ 71.8 - 62.6 = 9.2 \] **Answer:** The missing length of the top base is 9.2 units.
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