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Geometry Practice: Perimeter, Area, and Diagonal Lengths

This lesson includes various 5-minute checks and examples to help students practice finding the perimeter, area, and diagonal lengths of trapezoids, rhombi, and kites.

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Geometry Practice: Perimeter, Area, and Diagonal Lengths

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  1. Splash Screen

  2. Find the perimeter of the figure. Round to the nearest tenth if necessary. A. 48 cm B. 56 cm C. 101.1 cm D. 110 cm 5-Minute Check 1

  3. Find the perimeter of the figure. Round to the nearest tenth if necessary. A. 37.9 ft B. 40 ft C. 43.9 ft D. 45 ft 5-Minute Check 2

  4. Find the area of the figure. Round to the nearest tenth if necessary. A. 58 in2 B. 83 in2 C. 171.5 in2 D. 180 in2 5-Minute Check 3

  5. Find the area of the figure. Round to the nearest tenth if necessary. A. 9.0 m2 B. 62 m2 C. 5 m2 D. 3.4 m2 5-Minute Check 4

  6. Find the height and base of the parallelogram if the area is 168 square units. A. 11 units; 13 units B. 12 units; 14 units C. 13 units; 15 units D. 14 units; 16 units 5-Minute Check 5

  7. The area of an obtuse triangle is 52.92 square centimeters. The base of the triangle is 12.6 centimeters. What is the height of the triangle? A. 2.1 centimeters B. 4.2 centimeters C. 8.4 centimeters D. 16.8 centimeters 5-Minute Check 6

  8. Content Standards G.MG.3 Apply geometric methods to solve problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). Mathematical Practices 1 Make sense of problems and persevere in solving them. 7 Look for and make use of structure. CCSS

  9. You found areas of triangles and parallelograms. • Find areas of trapezoids. • Find areas of rhombi and kites. Then/Now

  10. height of a trapezoid: • the perpendicular distance between its bases Vocabulary

  11. Formula: Area of a Trapezoid Vocabulary

  12. Formula: Area of a Rhombus or Kite Vocabulary

  13. Area of a Trapezoid SHAVINGFind the area of steel used to make the side of the razor blade shown below. Example 1

  14. Area of a Trapezoid Find the area of the pool outlined below. Example 1

  15. Area of a Trapezoid OPEN ENDEDMiguel designed a deck shaped like the trapezoid shown below. Find the area of the deck. Example 2

  16. Area of a Rhombus and a Kite A. Find the area of the kite. Example 3A

  17. Area of a Rhombus and a Kite B. Find the area of the rhombus. Example 3B

  18. 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? Example 4

  19. Use Area to Find Missing Measures Trapezoid QRST has an area of 210 square yards. Find the height of QRST. Example 4

  20. Concept 3

  21. End of the Lesson

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