Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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**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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Transcribed Image Text:**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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