What is the area of the shape below given: a = 18.30, b = 25.06, c = 20.39, and d = 19.04 a b d Use л = 3.14 as needed. Round to two decimal places as needed.
What is the area of the shape below given: a = 18.30, b = 25.06, c = 20.39, and d = 19.04 a b d Use л = 3.14 as needed. Round to two decimal places as needed.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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Question
**Given Instructions:**
- Use π (pi) = 3.14 as needed.
- Round to two decimal places as needed.
**Dimensions:**
- Side a: 18.30
- Side b: 25.06
- Side c: 20.39
- Side d: 19.04
**Steps to Calculate the Area:**
1. **Identify Simple Shapes:**
The given composite shape can be divided into two rectangles:
2. **Calculate Areas Separately:**
1. **Area of Rectangle 1** (upper part):
- Length = a = 18.30
- Height = b - c = 25.06 - 20.39 = 4.67
- Area1 = Length * Height
- Area1 = 18.30 * 4.67 = 85.46 square units
2. **Area of Rectangle 2** (right part):
- Length = d = 19.04
- Height = c = 20.39
- Area2 = Length * Height
- Area2 = 19.04 * 20.39 = 388.47 square units
3. **Sum the Areas:**
- Total Area = Area1 + Area2
- Total Area = 85.46 + 388.47 = 473.93 square units
Thus, the area of the composite shape is **473.93 square units**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91652952-972c-437d-817e-6a9e046f1c10%2Fc47eb771-5135-441b-a56e-213a72db9607%2Fc3lje6j_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating the Area of a Composite Shape
**Problem Statement:**
What is the area of the shape below given:
a = 18.30,
b = 25.06,
c = 20.39,
and d = 19.04
**Given Instructions:**
- Use π (pi) = 3.14 as needed.
- Round to two decimal places as needed.
**Dimensions:**
- Side a: 18.30
- Side b: 25.06
- Side c: 20.39
- Side d: 19.04
**Steps to Calculate the Area:**
1. **Identify Simple Shapes:**
The given composite shape can be divided into two rectangles:
2. **Calculate Areas Separately:**
1. **Area of Rectangle 1** (upper part):
- Length = a = 18.30
- Height = b - c = 25.06 - 20.39 = 4.67
- Area1 = Length * Height
- Area1 = 18.30 * 4.67 = 85.46 square units
2. **Area of Rectangle 2** (right part):
- Length = d = 19.04
- Height = c = 20.39
- Area2 = Length * Height
- Area2 = 19.04 * 20.39 = 388.47 square units
3. **Sum the Areas:**
- Total Area = Area1 + Area2
- Total Area = 85.46 + 388.47 = 473.93 square units
Thus, the area of the composite shape is **473.93 square units**.
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