Form A 1. Find the area of the triangle. 6. A square has a perimeter of 8 inches. Find the area of the square. cm 7. Find the circumference of C in terms of.. Find the area of the parallelogram. 11 cm 8. Find the area of P in terms of. 3. Find the area of a rhombus if the length of one diagonal is 1 inches and the length of the other is 18 inches. 4 cm 4. Find the area of the trapezoid. 8 cm. Find the area of the regular pentagon. Round to the nearest tenth. 1 5. Find the area of the kite if the lengths of the diagonals are d 1 10 inches and d 8 inches. 1 10. Find the area of the figure. Assume all angles are right angles. 4 cm 4 cm 173 Holt Geometry
Form A continued 11. Estimate the area of the figure. The grid has squares with side lengths of 1 inch. 14. Find the area of the polygon with vertices D(1, 3), E(, 3), and F(, 5). Use the grids for Exercises 1 14. 1. Find the perimeter of the polygon with vertices A(, 1), B(, 3), C(1, 3), and D(1, 1). 15. If the radius of a circle is multiplied by, describe the effect on the circumference. 0 16. A gardener wants to double the area of a rectangular flower bed. Describe how the dimensions should be changed. 13. Find the area of the polygon with vertices A(, 1), B(, 3), C(1, 3), and D(1, 1). 17. Find the probability that a dart that hits the large rectangular target at a random point will hit inside the square. 6 ft ft 3 ft 0 18. A stoplight is green for 30 seconds, yellow for 5 seconds, and red for 5 seconds. What is the probability that the light will be green when you arrive? Green 30 s Yellow 5 s Red 5 s 174 Holt Geometry
Form B 1. Find the area of the triangle. 8 cm 17 cm 60 cm. Find the area of the parallelogram. cm 64 cm 3. Find the area of the rhombus. 6. The perimeter of a rhombus is 40 inches. One diagonal is 1 inches. Find the area of the rhombus. 6 in 7. Find the radius of P in which C 3. 18 cm 8. Given that the circle is inscribed in the square, find the area of the circle to the nearest hundredth. 18 cm 15 cm 01.0 1. Find the area of the regular polygon to the nearest tenth. 4. The area of the trapezoid is 34.5 square feet. Find the base. 4.5 ft 6 ft ft 7 ft 5. Find the area of the kite. 10 cm 8 cm 5 cm 5.8 cm 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. 15 cm 168 cm 36.53 in 175 Holt Geometry
Form B continued 11. Estimate the area of the figure. The grid has squares with side lengths of 1 yard. 15. The diameter of a circle is increased by a factor of 3. Describe the effect on the area of the circle. The area is multiplied by. Accept answers between 16 1 yd and 18 yd. 1. Find the perimeter of the polygon with vertices A(5, ), B(1, 5), C(3, 1), and D(3, ). If necessary, leave your answer in simplest radical form. 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? 4 ft 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. 10 5 units 7.5 m 10 m 15 m 5 m 30 m 13. Find the area of the polygon with vertices D(1, ), E(, ), F(, 1), and G(3, 1). 1 units 14. Find the area of the circle centered at the origin that passes through the point (3, 5). Round your answer to the nearest tenth of a square unit. 106.8 units 60 m 1 8 18. A stoplight is green for 8 seconds, yellow for 5 seconds, and red for 7 seconds. What is the probability that the light will NOT be green when you arrive? Green 8 s Yellow 5 s 8 15 Red 7 s 176 Holt Geometry
Form C 1. Express the area of an equilateral triangle in terms of the length s of a side.. 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. 54 5 cm 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. 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. 8. A regular hexagon is circumscribed about a circle. The circle has a radius of 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.. Find the area of the square. 5. Find the area of the kite. 8 mm 43 mm 8 3 mm 177 Holt Geometry
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. 14. Find the area of the polygon with vertices D(4, 1), E(, 4), F(3, ), and G(0, 4). 15. Determine the effect on the area of a parallelogram if the height is multiplied by 3 and the base is multiplied by 6. 11. Sod is going to be placed over an irregularly shaped area. If sod costs $6 a square yard, estimate the cost of the sod needed to cover the area. The grid has squares with side lengths of feet. 16. A circle has a diameter of 5 feet. If the circumference is multiplied by (x 4), find the area of the new circle. 17. A point is chosen randomly on AD. Find _ the probability the point is on BC or CD. 14 6 10 1. Find the perimeter of the polygon with vertices A(, 3), B(1, 5), C(1, 0), and D(, ). Round your answer to the nearest tenth. 18. A weather channel covers local weather 6 times per hour for a period of minutes. If you turn to the weather channel 5 times, predict how often you will catch the local weather. 13. Find the area of a circle centered at (1, 1) that passes through the point (, 6). Round your answer to the nearest tenth. 178 Holt Geometry