10. A door is 7 feet high and 30 inches wide, with trim of w inches wide on three sides of the door frame. Write the total area (in square inches) of the door and trim in standard form. 11. Certain ceramic tiles are 4 inches by 8 inches and are separated by grout seams that are x inches wide. a. Write a quadratic expression in standard form for the area covered by each tile and its share of the grout. (The grout in each seam is shared by two tiles, so each tile's share is only half the grout in each seam.) b. If the grout seams are inch wide, approximately how many tiles will it take to cover a 5-foot by 10-foot wall? c. What percent of the wall in Part b is grout?

10. A door is 7 feet high and 30 inches wide, with trim of w inches wide on three sides of the door frame. Write the total area (in square inches) of the door and trim in standard form. 11. Certain ceramic tiles are 4 inches by 8 inches and are separated by grout seams that are x inches wide. a. Write a quadratic expression in standard form for the area covered by each tile and its share of the grout. (The grout in each seam is shared by two tiles, so each tile's share is only half the grout in each seam.) b. If the grout seams are inch wide, approximately how many tiles will it take to cover a 5-foot by 10-foot wall? c. What percent of the wall in Part b is grout?

Name: **Educational Content: Tile and Area Calculations**### Problem 10:A d
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Description: **Educational Content: Tile and Area Calculations**### Problem 10:A door is 7 feet high and 30 inches wide, with trim of $ w $ inches wide on three sides of the door frame. Write the total area (in square inches) of the door and trim in standard f

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 80A: One of the examples showed how to find the area of the metal stamping in Figure 59-2. Another method...

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Question

**Educational Content: Tile and Area Calculations**

### Problem 10:
A door is 7 feet high and 30 inches wide, with trim of $ w $ inches wide on three sides of the door frame. Write the total area (in square inches) of the door and trim in standard form.

### Problem 11:
Certain ceramic tiles are 4 inches by 8 inches and are separated by grout seams that are $ x $ inches wide.

**a.** Write a quadratic expression in standard form for the area covered by each tile and its share of the grout. (The grout in each seam is shared by two tiles, so each tile's share is only half the grout in each seam.)

**b.** If the grout seams are $\frac{1}{2}$ inch wide, approximately how many tiles will it take to cover a 5-foot by 10-foot wall?

**c.** What percent of the wall in Part b is grout?

### Diagram Explanation:
The diagram contains a 3x4 grid of rectangles, representing the layout of tiles on a wall. The spaces between the tiles indicate the grout seams.

The diagram includes marks (×) that label the width of each grout seam between the tiles, illustrating the horizontal and vertical grout separation.

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