0-8 Area. Find the area of each figure. 1. SOLUTION: The area of the rectangle is 6 square centimeters. 2. SOLUTION:
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1 Find the area of each figure. 1. The area of the rectangle is 6 square centimeters. 2. The area of the square is 36 square inches. 3. The area of the parallelogram is 120 square meters. esolutions Manual - Powered by Cognero Page 1
2 Find the area of each figure. Round to the nearest tenth if necessary, 4. a triangle with a base 12 millimeters and height 11 millimeters The area of the triangle is 66 square millimeters. 5. a square with side length 9 feet The area of the square is 81 square feet. 6. a rectangle with length 8 centimeters and width 2 centimeters The area of the rectangle is 16 square centimeters. 7. a triangle with a base 6 feet and height 3 feet The area of the triangle is 9 square feet. esolutions Manual - Powered by Cognero Page 2
3 8. a quarter-circle with a diameter of 4 meters The radius is half the diameter, or 2 meters. The area of the circle is about square meters. To find the area of a quarter-circle, divide the area of the circle by = So, the area of the quarter-circle is about 3.1 square meters. 9. a semi-circle with a radius of 3 inches To find the area of a semi-circle, first find the area of a circle with a radius of 3 inches. The area of the circle is square inches. To find the area of a semi-circle, divide the area of the circle by = So, the area of the semi-circle is about 14.1 square inches. Find the area of each circle. Round to the nearest tenth. 10. The area of the circle is about 78.5 square inches. esolutions Manual - Powered by Cognero Page 3
4 11. The area of the circle is about 12.6 square feet. 12. The radius is half the diameter, or 1 kilometer. The area of the circle is about 3.1 square kilometers. 13. The radius is 4 centimeters. The area of the circle is about 50.3 square centimeters. esolutions Manual - Powered by Cognero Page 4
5 14. The radius is 7.2 millimeters. The area of the circle is about square millimeters. 15. The diameter is 16 inches. The radius is half the diameter, or 8 inches. The area of the circle is about square inches. 16. The diameter is 25 feet. The radius is half the diameter, or 12.5 feet. The area of the circle is about square feet. 17. CAMPING The square floor of a tent has an area of 49 square feet. What is the side length of the tent? To find the side length of a square floor that has an area of 49 square feet, substitute 49 into the formula for the area of a square and solve for A. The side length of the tent is 7 feet. esolutions Manual - Powered by Cognero Page 5
6 Estimate the area of each polygon in square units. 18. One way to estimate the area is to count each square as one unit and each partial square as a half unit, no matter how large or small. A squares + partial squares (0.5) 26 whole squares and 10 partial squares or 31 The area is about 31 units One way to estimate the area is to count each square as one unit and each partial square as a half unit, no matter how large or small. A squares + partial squares (0.5) 12 whole squares and 17 partial squares or 20.5 The area is about 20.5 units HISTORY Stonehenge is an ancient monument in Wiltshire, England. The giant stones of Stonehenge are arranged in a circle 30 meters in diameter. Find the area of the circle. Round to the nearest tenth square meter. Find the area of the circle created by the stones of Stonehenge. The radius is half the diameter, or 15 meters. The area of the circle is about square meters. esolutions Manual - Powered by Cognero Page 6
7 Find the area of each figure. Round to the nearest tenth. 21. The figure consists of a square and a triangle. Find the area of the square. Find the area of the triangle. To find the total area, add the two areas = So, the area of the figure is about 22.1 square centimeters. esolutions Manual - Powered by Cognero Page 7
8 22. This figure consists of a rectangle and a triangle. Find the area of the rectangle. Find the area of the triangle. To find the base of the triangle, subtract 5.2 from 8.0. b = = 2.8 To find the total area, add the two areas = 23.1 So, the area of the figure is 23.1 square centimeters. esolutions Manual - Powered by Cognero Page 8
9 23. This figure consists of a rectangle and a semi-circle. Find the area of the rectangle. Find the area of a circle with a diameter of 1.2 centimeters. The radius is half the diameter. r = = 0.6 To find the area of the semi-circle, divide the area of the circle by = 0.55 To find the total area, add the two areas = 4.03 So, the area of the figure is about 4.0 square centimeters. esolutions Manual - Powered by Cognero Page 9
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