Area Calculations: Trapezoids, Rhombi, and Kites
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This educational resource provides comprehensive guidance on calculating the areas of trapezoids, rhombi, and kites. Students will learn to apply formulas to determine areas through practical examples, including real-world applications like designing decks and carpeting rooms. The lesson encompasses vocabulary related to area, various calculation examples, and end-of-lesson assessments. Ideal for enhancing geometry skills, this content aids learners in mastering area calculations and finding missing measures using algebraic concepts.
Area Calculations: Trapezoids, Rhombi, and Kites
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Presentation Transcript
You will be able to • Calculate areas of trapezoids. • Calculate areas of rhombi and kites. Then/Now
height of a trapezoid Vocabulary
Area of a Trapezoid SHAVINGFind the area of steel used to make the side of the razor blade shown below.
Find the area of the side of the pool outlined below. A. 288 ft2 B. 295.5 ft2 C. 302.5 ft2 D. 310 ft2 Example 1
Area of a Trapezoid OPEN ENDEDMiguel designed a deck shaped like the trapezoid shown below. Find the area of the deck.
Ramon is carpeting a room shaped like the trapezoid shown below. Find the area of the carpet needed. A. 58 ft2 B. 63 ft2 C. 76 ft2 D. 88 ft2 Example 2
Area of a Rhombus and a Kite A. Find the area of the kite. Example 3A
Area of a Rhombus and a Kite B. Find the area of the rhombus. Example 3B
A. Find the area of the kite. A. 48.75 ft2 B. 58.5 ft2 C. 75.25 ft2 D. 117 ft2 Example 3A
B. Find the area of the rhombus. A. 45 in2 B. 90 in2 C. 180 in2 D. 360 in2 Example 3B
Use Area to Find Missing Measures ALGEBRA One diagonal of a rhombus is half as long as the other diagonal. If the area of the rhombus is 64 square inches, what are the lengths of the diagonals?
Trapezoid QRST has an area of 210 square yards. Find the height of QRST. A. 3 yd B. 6 yd C. 2.1 yd D. 7 yd Example 4