Geometry Word Problems
Write the formula suggested by the problem to solve. Show all work!! 1) Jim is building a garden in one corner of his yard. The garden is in the shape of an equilateral triangle. If one side is 18 feet, how much fencing should he buy to enclose the garden?
#1 1) Jim is building a garden in one corner of his yard. The garden is in the shape of an equilateral triangle. If one side is 18 feet, how much fencing should he buy to enclose the garden? equilateral triangle has all sides equal Find the perimeter: P = 18 + 18 + 18 = 54 ft
#2 2) The city park is in the shape of a parallelogram. Mowers first cut grass along the base measurement of the park, which is 500 feet. If the company cuts 100,000 square feet of grass in the park, what is the height measurement?
#2 2) The city park is in the shape of a parallelogram. Mowers first cut grass along the base measurement of the park, which is 500 feet. If the company cuts 100,000 square feet of grass in the park, what is the height measurement? A = b • h 100,000 = 500 • h 500 500 200 ft = h
# 3 3) Sonja is painting scenery for the play. She is putting on the white base coat for a simple house that consists of a square, with one side 8 feet, and an isosceles triangle roof, with the roof height as 6 feet. What is the total area that she is painting?
#3 3) Sonja is painting scenery for the play. She is putting on the white base coat for a simple house that consists of a square, with one side 8 feet, and an isosceles triangle roof, with the roof height as 6 feet. What is the total area that she is painting? square = 8 • 8 = 64 triangle = 8 • 6 2 = 24 total area = 64 + 24 = 88 ft2
#4 4) Shelia is putting sod down for her yard. The yard is rectangular in shape, 100 feet by 150 feet. The base of her house is also rectangular, 60 feet by 40 feet. How many square feet of sod does she need to purchase?
#4 4) Shelia is putting sod down for her yard. The yard is rectangular in shape, 100 feet by 150 feet. The base of her house is also rectangular, 60 feet by 40 feet. How many square feet of sod does she need to purchase? total yard= 100 (150) = 15,000 house = 40 ( 60) = 2400 Total yard – house= 15,000 – 2400= 12,600 ft2
# 5 5) What is the circumference of a 21” ( This is the diameter)bicycle wheel?
#5 5) What is the circumference of a 21” ( This is the diameter) bicycle wheel? C = d • 3.14 C = 21 • 3.14 C = 65.94 in
# 6 6) A Ferris wheel has a radius of 65’, what is the circumference of the Ferris wheel?
# 6 6) A Ferris wheel has a radius of 65’, what is the circumference of the Ferris wheel? r = 65 ft d = 65 ( 2) = 130 C = d • 3.14 C = 130 • 3.14 C = 408.2 ft
#7 7) A pizza place has a 8” diameter, 12” diameter, and a 16” diameter pizza. What is the area and circumference of those pizzas?
#7 7) A pizza place has a 8” diameter, 12” diameter, and a 16” diameter pizza. What is the area and circumference of those pizzas? A) d = 8 in B) d = 12 r = 4 in r = 6 A = 4 • 4 • 3.14 A = 6 • 6 • 3.14 A = 50.24 in2 A = 113.04in2 C = 8 • 3.14 C = 12 • 3.14 C = 25.12 in C = 37.68 in
#8 8) Spot the dog is on a chain in the back yard. The circumference of the circle that Spot makes walking around is 94.5 feet. How long is the chain? ( Hint: The chain length is the radius of the circle.)
# 8 8) Spot the dog is on a chain in the back yard. The circumference of the circle that Spot makes walking around is 94.5 feet. How long is the chain? ( Hint: The chain length is the radius of the circle.) C = d • 3.14 94.5 = 3.14 d 3.14 3.14 30.09 = d rounded to 30 r = 30 ÷ 2 = 15 ft
#9 9) Tyler has a clock with a second hand of 12 inches. After 3 minutes, what is the total circumference the hand has traveled?
# 9 9) Tyler has a clock with a second hand of 12 inches. After 3 minutes, what is the total circumference the hand has traveled? r = 12 so d = 12 (2) =24 C = d • 3.14 • ( 3 min) C = 24 • 3.14 • 3 C = 226.08 in
# 10 10) Joe is painting a sign with two large circles of the same size. If the diameter of one circle is 24 feet, what is the area of both of the circles?
# 10 10) Joe is painting a sign with two large circles of the same size. If the diameter of one circle is 24 feet, what is the area of both of the circles? d = 24 ft r = 24 ÷ 2 = 12 ft A = 3.14 • r 2 • 2 circles A = 3.14 • 122 • 2 A = 904.32 ft2