Me(0 Renais Ashley company designs a new logo to be painted on a wall in the lobby of its office. The dimensions are shown below. What is the area of the logo? Building: 16.5 square feet 1.5 ft 15.25 square feet 3 ft 15 square feet 3 ft 18 square feet 1.5 ft 2 ft 4 ft My Progress Copyright 2021 by Curriculum Associates All rights reserved. These materials may not be reproduced without written consent Curriculum Associates
The Correct Answer and Explanation is:
✅ Correct Answer: 64.75 square feet
🔍 Explanation
The total area of the logo on the wall is calculated by adding the areas of all individual sections that make up the design. Based on the information provided, the logo is made up of four distinct sections with known areas: 16.5 square feet, 15.25 square feet, 15 square feet, and 18 square feet. Each of these sections contributes to the full size of the logo and may represent different shapes or design elements.
When calculating total area in such situations, you use the principle of area composition, which involves summing the areas of smaller, non-overlapping parts to get the total. This principle is commonly used in geometry, design, and architecture when working with compound figures.
While some dimensions like 1.5 ft, 3 ft, 2 ft, and 4 ft are given, they appear to be labels for side lengths of sections that already have their area provided. Therefore, we don’t need to calculate anything from those measurements unless asked for a shape’s specific dimension or to verify area.
Adding the given areas:
- First pair: 16.5 + 15.25 = 31.75
- Second pair: 15 + 18 = 33
- Total: 31.75 + 33 = 64.75 square feet
Thus, the logo occupies a total of 64.75 square feet on the lobby wall. This ensures proper planning for painting, spacing, and visual balance within the wall’s dimensions.
