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19. A kite has diagonals 6.2 and 8 ft. What is the area of the kite?

19. A kite has diagonals 6.2 and 8 ft. What is the area of the kite?

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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**Mathematics Problems and Solutions** --- ### Problem 18 #### Given: - Work: [Solution steps to be shown here] - Length of each leg: [Answer to be filled here] in ### Problem 19 A kite has diagonals 6.2 and 8 ft. What is the area of the kite? #### Work: [Solution steps to be shown here] #### Area: [Answer to be filled here] ft² ### Problem 20 What is the area of a regular octagon (8 sides) with apothem 5 inches and a side of 3 inches? #### Work: [Solution steps to be shown here] #### Area: [Answer to be filled here] in² --- **Explanation:** - **Problem 18** requires the calculation of the length of each leg given specific information (not provided in the image) and the work steps leading to the solution should be shown under "Work". - **Problem 19** involves determining the area of a kite using the given lengths of its diagonals. The area of a kite can be found using the formula: \[ \text{Area of Kite} = \frac{1}{2} \times d_1 \times d_2 \] where \( d_1 \) and \( d_2 \) are the lengths of the diagonals. - **Problem 20** involves finding the area of a regular octagon given the lengths of the apothem and one side. The area of a regular polygon can be found using the formula: \[ \text{Area} = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} \] where the perimeter of the octagon can be calculated as \( 8 \times \text{side length} \). The placeholders "[Solution steps to be shown here]" indicate where students should write the process they used to reach the solution, promoting step-by-step problem-solving and understanding.
Transcribed Image Text:**Mathematics Problems and Solutions** --- ### Problem 18 #### Given: - Work: [Solution steps to be shown here] - Length of each leg: [Answer to be filled here] in ### Problem 19 A kite has diagonals 6.2 and 8 ft. What is the area of the kite? #### Work: [Solution steps to be shown here] #### Area: [Answer to be filled here] ft² ### Problem 20 What is the area of a regular octagon (8 sides) with apothem 5 inches and a side of 3 inches? #### Work: [Solution steps to be shown here] #### Area: [Answer to be filled here] in² --- **Explanation:** - **Problem 18** requires the calculation of the length of each leg given specific information (not provided in the image) and the work steps leading to the solution should be shown under "Work". - **Problem 19** involves determining the area of a kite using the given lengths of its diagonals. The area of a kite can be found using the formula: \[ \text{Area of Kite} = \frac{1}{2} \times d_1 \times d_2 \] where \( d_1 \) and \( d_2 \) are the lengths of the diagonals. - **Problem 20** involves finding the area of a regular octagon given the lengths of the apothem and one side. The area of a regular polygon can be found using the formula: \[ \text{Area} = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} \] where the perimeter of the octagon can be calculated as \( 8 \times \text{side length} \). The placeholders "[Solution steps to be shown here]" indicate where students should write the process they used to reach the solution, promoting step-by-step problem-solving and understanding.
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