Name ___________________________________ Period ___________ I Love Geometric Concepts!!! 1. The area of a square is 144 square feet. What is the perimeter of the square? 2. A rectangular garden has a triangular patio next to it, as shown below. What is the area, in square feet (ft 2 ) of both the garden and the patio combined? 3. The perimeter of a triangle is 25 inches. If one side measures 6.5 inches and the other side measures 7.25 inches, what is the measure of the third side? 5. During recent renovations, Achievement Middle School built an elevated platform on the stage and covered the rest of the stage with carpet. The stage is 75 feet by 28 feet, and the elevated platform is 22 feet by 9 feet. What is the area of the portion of the stage that is covered with carpet? 4. What is the length of a rectangle with a width of 14 cm and an area of 336 cm2 ? 6. The gym at Blake’s school will soon be enlarged. Both the original gym and the new addition, shown below, will get a new wood floor. What is the total number of square feet of wood that will be needed to cover the floors of both the original gym and the new addition? Name ___________________________________ 7. The Pet Palace is replacing its dog training arena with a new arena with dimensions that are twice as large. The old arena is shown below. How much greater is the area of the new arena compared to the area of the old arena? Period ___________ 8. Jimmy filled his fish aquarium with water one night. The next morning, Jimmy noticed the water level dropped 1.5 inches. Which of the following equations could Jimmy use to determine the volume of water, in cubic inches, in the aquarium that morning? a. V = (18)(8)(10) b. V= [(1.5)(8)(10)] – 1.5 c. V = (18)(8)(8.5) d. V = (10)(8) 9. Kolden cut an isosceles triangle from felt to make a spirit banner. Two sides of his banner had the following measures: 15 inches and 7 inches. Which could be the measure of the third side of Nathan’s banner? a. 20 inches b. 15 inches c. 10 inches d. 7 inches 10. Triangle JKL is shown below. 11. Look at the figure below. 12. Two sides of a triangle are 9 and 11 centimeters long. a. What is the shortest possible length in whole centimeters for the third side? Find the measure of < DFG based on the given information in the diagram. If KL = 12 cm, JK = 10 cm, and JL = 11 cm, which list shows the angles in order from least to greatest, according to their measures? a. < J, < K, < L b. < L, < K, < J c. < L, < J, < K d. < K, < L, < J b. What is the longest possible length in whole centimeters for the third side? Name ___________________________________ Period ___________
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