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Area of Rectangles

Area of Rectangles. Return to table of contents. Area - The number of square units (units 2 ) it takes to cover the surface of a figure. ALWAYS label units 2 !!!. How many 1 ft 2 tiles does it take to cover the rectangle? Use the squares to find out!

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Area of Rectangles

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  1. Area of Rectangles Return to table of contents

  2. Area - The number of square units (units2) it takes to cover the surface of a figure. ALWAYS label units2!!!

  3. How many 1 ft2 tiles does it take to cover the rectangle? Use the squares to find out! Look for a faster way than covering the whole figure. 12 ft 6 ft

  4. The Area (A) of a rectangle is found by using the formula: A = length(width) A = lw The Area (A) of a square is found by using the formula: A = side(side) A = s2

  5. 65 What is the Area (A) of the figure? 15 ft 6 ft

  6. 66 Find the area of the figure below. 7

  7. 67 Dr. Dan wants to keep his kitten from running through his flower bed by putting up some fencing. The flower bed is 10 ft. by 6ft. Will Dr. Dan need to know the area or the perimeter of his flower bed to keep his kitty from trampling the flowers? A Area B Perimeter

  8. 68 Now solve the problem.... Dr. Dan wants to keep his kitten from running through his flower bed by putting up some fencing. The flower bed is 10 ft. by 6ft. How much fencing will he need?

  9. Area of Parallelograms Return to table of contents

  10. Area of a Parallelogram Let's use the same process as we did for the rectangle. How many 1 ft2 tiles fit across the bottom of the parallelogram?

  11. Area of a Parallelogram. Let's use the same process as we did for the rectangle. If we build the parallelogram with rows of 14 ft2, what happens? 14 ft How tall is the parallelogram? How can you tell?

  12. How does this help us find the area of the parallelogram? 4 ft 14 ft How do you find the area of a parallelogram?

  13. The Area (A) of a parallelogram is found by using the formula: Note: The base & height always form a right angle! A = base(height) A = bh

  14. Example. Find the area of the figure. 4 cm 2.2 cm 2.2 cm 1.9 cm 4 cm click to reveal

  15. Try These. Find the area of the figures. 11 m 8 20 m 14 m 5 7 11 m click to reveal click to reveal 4

  16. 69 Find the area. 11 ft 10 ft 12 ft

  17. 70 Find the area. 17 in 12 in 12 in 10 in 17 in

  18. 71 Find the area. 7 m 13 m 13 m 11 m 7 m

  19. 72 Find the area.

  20. Area of Triangles Return to table of contents

  21. Area of a Triangle Let's use the same process as we did for the rectangle & parallelogram. How many 1 ft2 tiles fit across the bottom of the triangle?

  22. Area of a Triangle If we continue to build the triangle with rows of 10 ft2, what happens? 10 ft How tall is the triangle? How can you tell?

  23. How does this help us find the area of the triangle? 4 ft 10 ft See that the rectangle we built is twice as large as the triangle. How do you find the area of a triangle? Find the area of the rectangle, then divide by 2 20 ft2

  24. Is this true for all triangles? Let's see! Calculating base(height) results in 2 triangles!

  25. The Area (A) of a triangle is found by using the formula: Note: The base & height always form a right angle!

  26. Example. Find the area of the figure. 4 cm 10 cm 10 cm 6 cm click to reveal

  27. Try These. Find the area of the figures. 20 14 16 13 ft 9 ft 12 ft 11 ft 15 click to reveal click to reveal

  28. 73 Find the area. 11 in 10 in 8 in 5 in

  29. 74 Find the area 12 m 9 m 8 m 15 m

  30. Area of Trapezoids Return to table of contents

  31. Area of a Trapezoid ·Cut the trapezoid in half horizontally ·Rotate the top half so it lies next to the bottom half ·A parallelogram is created See the diagrams below Base1 Height Base2 Base1 Base2

  32. The Area (A) of a trapezoid is found by using the formula: Note: The base & height always form a right angle!

  33. Example. Find the area of the figure. 12 cm 10 cm 11 cm click to reveal 9 cm

  34. Try These. Find the area of the figures. 15 13 ft 9 7 11 11 ft 11 ft 9 ft 20 11 ft click to reveal click to reveal

  35. 75 Find the area of the trapezoid. 4 m 6.5 m 10 m

  36. 76 Find the area of the trapezoid. 22 cm 8 cm 14 cm

  37. Area of Circles Return to table of contents

  38. Area of a Circle The Area (A) of a Circle is found by solving the following formula:

  39. Find the area of the circle. A = πr2 1. Substitute the radius into formula. A = π (7)2 2. Use 3.14 as an approximation for π. A = 3.14(49) A = 153.86 cm2 3. Don't forget to label the units as square units. 7 cm

  40. 77 What is the Area (A) of a Circle with a radius (r) of 8 m? 8 m

  41. 78 What is the Area (A) of the circle?

  42. 79 What is the Area (A) of the circle?

  43. 80 A circular sprinkler sprays water with a radius of 11 ft. How much area can the sprinkler cover?

  44. 81 What is the area of a circle with a diameter of 24 yds?

  45. 82 What is the radius of a circle whose area is 254.34 mm2?

  46. A circular pool has an area of 153.86 ft2. What is its diameter? 83

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