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What's the area of the figure?

What's the area of the figure?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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What's the area of the figure?

### Geometric Diagram: Trapezoid This image is a geometric diagram of a trapezoid, with the following dimensions: - The length of the top base is 12 cm. - The length of the bottom base is 20 cm. - The height, which is perpendicular to the bases and depicted with a right-angle marker, is 5 cm. The trapezoid is outlined in blue, indicating its shape clearly. The bases are parallel to each other, and the height connects the midpoints of these bases, ensuring it is perpendicular to both. #### Explanation: - **Bases (Parallel Sides):** The top base measures 12 cm and the bottom base measures 20 cm. - **Height:** The perpendicular distance (height) between the two bases is 5 cm. Such diagrams are usually used to illustrate concepts in geometry, including calculating the area of a trapezoid or understanding the relationship between different parts of the shape. The basic formula for calculating the area \( A \) of a trapezoid is: \[ A = \frac{1}{2} \times ( \text{Base}_1 + \text{Base}_2 ) \times \text{Height} \] Where: - \( \text{Base}_1 \) and \( \text{Base}_2 \) are the lengths of the two parallel sides (12 cm and 20 cm in this case). - Height is the perpendicular distance between these bases (5 cm). Using this diagram, students can apply the formula to practice and verify the area calculation of the trapezoid.
Transcribed Image Text:### Geometric Diagram: Trapezoid This image is a geometric diagram of a trapezoid, with the following dimensions: - The length of the top base is 12 cm. - The length of the bottom base is 20 cm. - The height, which is perpendicular to the bases and depicted with a right-angle marker, is 5 cm. The trapezoid is outlined in blue, indicating its shape clearly. The bases are parallel to each other, and the height connects the midpoints of these bases, ensuring it is perpendicular to both. #### Explanation: - **Bases (Parallel Sides):** The top base measures 12 cm and the bottom base measures 20 cm. - **Height:** The perpendicular distance (height) between the two bases is 5 cm. Such diagrams are usually used to illustrate concepts in geometry, including calculating the area of a trapezoid or understanding the relationship between different parts of the shape. The basic formula for calculating the area \( A \) of a trapezoid is: \[ A = \frac{1}{2} \times ( \text{Base}_1 + \text{Base}_2 ) \times \text{Height} \] Where: - \( \text{Base}_1 \) and \( \text{Base}_2 \) are the lengths of the two parallel sides (12 cm and 20 cm in this case). - Height is the perpendicular distance between these bases (5 cm). Using this diagram, students can apply the formula to practice and verify the area calculation of the trapezoid.
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