Name _______________________________________ Date ___________________ Class __________________ Extending Perimeter, Circumference, and Area Chapter Test Form A 1. Find the area of the triangle. 6. A square has a perimeter of 28 inches. Find the area of the square. ________________________________________ 7. Find the circumference of of . C in terms ________________________________________ 2. Find the area of the parallelogram. ________________________________________ ________________________________________ 8. Find the area of P in terms of . 3. Find the area of a rhombus if the length of one diagonal is 12 inches and the length of the other is 18 inches. ________________________________________ 4. Find the area of the trapezoid. ________________________________________ 9. Find the area of the regular pentagon. Round to the nearest tenth. ________________________________________ 5. Find the area of the kite if the lengths of the diagonals are d1 10 inches and d2 8 inches. ________________________________________ ________________________________________ 10. Find the area of the figure. Assume all angles are right angles. ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Extending Perimeter, Circumference, and Area Chapter Test Form A continued ________________________________________ 15. If the radius of a circle is multiplied by 2, describe the effect on the circumference. ________________________________________ ________________________________________ 18. A stoplight is green for 30 seconds, yellow for 5 seconds, and red for 25 seconds. What is the probability that the light will be green when you arrive? 16. A gardener wants to double the area of a rectangular flower bed. Describe how the dimensions should be changed. ________________________________________ ________________________________________ 17. Find the probability that a dart that hits the large rectangular target at a random point will hit inside the square. Extending Perimeter, Circumference, and Area Chapter Test Form B 1. Find the area of the triangle. ________________________________________ 4. The area of the trapezoid is 34.5 square feet. Find the base. ________________________________________ 2. Find the area of the parallelogram. ________________________________________ 5. Find the area of the kite. ________________________________________ 3. Find the area of the rhombus. ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ 6. The perimeter of a rhombus is 40 inches. One diagonal is 12 inches. Find the area of the rhombus. ________________________________________ 7. Find the radius of C 36 cm. P in which ________________________________________ 8. Given that the circle is inscribed in the square, find the area of the circle to the nearest hundredth. ________________________________________ 10. The figure is a semicircle with a radius of 8 inches. Find the area of the shaded part of the figure to the nearest hundredth. ________________________________________ ________________________________________ 9. Find the area of the regular polygon to the nearest tenth. Extending Perimeter, Circumference, and Area Chapter Test Form B continued 15. The diameter of a circle is increased by a factor of 3. Describe the effect on the area of the circle. ________________________________________ 16. A square sandbox has an area of 8 square feet. If you want to double the area, what size should you make the sides of the new sandbox? 18. A stoplight is green for 28 seconds, yellow for 5 seconds, and red for 27 seconds. What is the probability that the light will NOT be green when you arrive? ________________________________________ ________________________________________ 17. Find the probability that a point chosen randomly inside the 60-m-by-30-m rectangle will be inside either the small rectangle or the triangle. ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Extending Perimeter, Circumference, and Area Chapter Test Form C 1. Express the area of an equilateral triangle in terms of the length s of a side. ________________________________________ 2. Find the area of the parallelogram. 6. The area of an equilateral triangle is equal to the area of a trapezoid. The trapezoid has bases with lengths 4 centimeters and 14 centimeters and an altitude of 4 3 centimeters. Determine the perimeter of the triangle. ________________________________________ ________________________________________ 3. The longer diagonal of a rhombus is equal to 3 times one of its sides. The length of a side is 6 inches. Determine the area of the rhombus. Leave your answer in simplest radical form. ________________________________________ 7. A circle is circumscribed about a square. The square has side lengths of 8 inches. Find the circumference of the circle in terms of . Leave your answer in simplest radical form. ________________________________________ 8. A regular hexagon is circumscribed about a circle. The circle has a radius of 9 feet. Find the area of the hexagon to the nearest tenth. 4. The midsegment of the trapezoid has a length of 11.5 cm. Find the area of the trapezoid. ________________________________________ 9. Find the area of the square. ________________________________________ 5. Find the area of the kite. ________________________________________ ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Extending Perimeter, Circumference, and Area Chapter Test Form C continued 10.The radius of the circle circumscribed around the regular hexagon is 10 centimeters. Find the area of the shaded part of the figure to the nearest tenth. 17. A point is chosen randomly on AD. Find the probability the point is on BC or CD. ________________________________________ ________________________________________ 18. A weather channel covers local weather 6 times per hour for a period of 2 minutes. If you turn to the weather channel 5 times, predict how often you will catch the local weather. ________________________________________ ________________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date ___________________ Class __________________ Answer Key Extending Perimeter, Circumference, and Area Chapter Test Form A: Free Response 1. 54 cm2 2. 66 cm2 3. 108 in2 1 11. Accept answers between 16 yd2 and 2 2 18 yd . 12. 10 5 units 13. 12 units2 4. 144 cm2 14. 106.8 units2 5. 40 in2 15. The area is multiplied by 9. 2 6. 49 in 7. 6 cm 16. 4 ft 17. 1 8 18. 8 15 8. 16 cm2 9. 61.9 cm2 10. 432 cm2 11. about 3 in2 12. 10 units 13. 9 units2 Chapter Test Form C: Free Response 1. s2 3 4 2. 24.27 cm2 14. 12 units2 3. 18 3 in2 15. The circumference is multiplied by 2. 4. 138 cm2 16. Possible answers: double the width; double the length. 2 17. 9 1 18. or 0.5 2 5. 64 3 mm2 or about 110.85 mm2 Chapter Test Form B: Free Response 6. 36 cm 7. 8 2 in. 8. 280.6 ft2 9. 128 cm2 10. 54.4 cm2 1. 60 cm2 11. Possible answer: $47.00 2. 264 cm2 12. 17.2 units 3. 216 cm2 13. 106.8 units2 4. 7 ft 14. 29 units2 5. 168 cm2 6. 96 in2 7. 18 cm 8. 201.06 cm2 9. 259.8 cm2 15. The original area is multiplied by 18. 16. (25x2 + 100x 100) ft2 3 or 0.75 4 18. once 17. 10. 36.53 in2 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry
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