High School

We appreciate your visit to Using Scale to Find Areas Solve each problem 1 After making several scale drawings Joseph decides on the best placement for a new grill on. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Using Scale to Find Areas

Solve each problem.

1. After making several scale drawings, Joseph decides on the best placement for a new grill on his deck. He uses a scale of 2 cm for every 5 in. What is the actual area of the space for Joseph's new grill in square inches?

Scale dimensions:
- Length: 10 cm
- Width: 18 cm

Answer :

To solve this problem, we need to find the actual area of the space for Joseph's new grill in square inches using the provided scale. Here's a step-by-step solution:

1. Understand the Scale:
- The scale given is 2 cm for every 5 inches.

2. Dimensions of the Grill Space in the Drawing:
- Length in the drawing: 10 cm
- Width in the drawing: 18 cm

3. Convert the Drawing Dimensions to Actual Dimensions:
- First, we need to determine the conversion factor from centimeters to inches, based on the scale.
- For every 2 cm in the drawing, it corresponds to 5 inches in actual size.

4. Conversion Factor Calculation:
- [tex]\( \text{Conversion factor (inches per cm)} = \frac{5 \text{ inches}}{2 \text{ cm}} \)[/tex]
- [tex]\( \text{Conversion factor} = 2.5 \text{ inches per cm} \)[/tex]

5. Convert the Length and Width to Inches:
- Actual length: [tex]\( 10 \text{ cm} \times 2.5 \text{ inches per cm} = 25 \text{ inches} \)[/tex]
- Actual width: [tex]\( 18 \text{ cm} \times 2.5 \text{ inches per cm} = 45 \text{ inches} \)[/tex]

6. Calculate the Actual Area in Square Inches:
- Area = Length × Width
- Area = [tex]\( 25 \text{ inches} \times 45 \text{ inches} = 1125 \text{ square inches} \)[/tex]

Hence, the actual area of the space for Joseph's new grill is [tex]\( 1125 \text{ square inches} \)[/tex].

Thanks for taking the time to read Using Scale to Find Areas Solve each problem 1 After making several scale drawings Joseph decides on the best placement for a new grill on. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada