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In the Real World

L E S S O N. 11 5. In the Real World. Areas of Triangles and Trapezoids. Museums The Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, has a triangular shaped wall. What is the area of the wall?. L E S S O N. 11 5. In the Real World. Areas of Triangles and Trapezoids.

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In the Real World

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  1. L E S S O N 11 5 . In the Real World Areas of Triangles and Trapezoids Museums The Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, has a triangular shaped wall. What is the area of the wall?

  2. L E S S O N 11 5 . In the Real World Areas of Triangles and Trapezoids Museums The Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, has a triangular shaped wall. What is the area of the wall? You can use the base and height of a triangle to find the area of the triangle. The base of a triangle is the length of any one of the sides. The height of a triangle is the perpendicular distance between the side whose length is the base and the vertex opposite that side. height base

  3. Areas of Triangles and Trapezoids L E S S O N 11 5 1 2 . BOOK NOTE bh height h base b A = Area of a Triangle The area A of a triangle is half the product of a base and the corresponding height. Words Algebra

  4. Areas of Triangles and Trapezoids L E S S O N 11 5 1 2 1 2 . 111 ft bh 231 ft bh = A = 1 EXAMPLE Finding the Area of a Triangle To find the area of the wall of the Rock and Roll Hall of Fame and Museum previously described, use the diagram shown. Write formula for area of a triangle. (231) (111) Substitute 231 for b and 111 for h. = 12,820.5 Multiply. ANSWER The area of the wall is 12,820.5 square feet.

  5. Areas of Triangles and Trapezoids L E S S O N 11 5 1 2 1 2 . A= A= b h b h 2 EXAMPLE Finding the Base of a Triangle A triangle has a height of 10 centimeters and an area of 35 square centimeters. Find the base of the triangle. Write formula for area of a triangle. 35 (10) Substitute 35 for A and 10 for h. 35 = 5b Simplify. 7 = b Divide each side by 5. ANSWER The base of the triangle is 7 centimeters.

  6. Areas of Triangles and Trapezoids L E S S O N 11 5 . Trapezoids You can use the bases and the height of a trapezoid to find the area of the trapezoid. The lengths of the parallel sides of a trapezoid are the bases of the trapezoid. The height of the trapezoid is the perpendicular distance between the bases. base1 height base2

  7. Areas of Triangles and Trapezoids L E S S O N 11 5 1 2 . BOOK NOTE base b1 height h base b2 A= (b1 + b2)h Area of a Trapezoid The area Aof a trapezoid is half the product of the sum of the bases and the height. Words Algebra

  8. Areas of Triangles and Trapezoids L E S S O N 11 5 1 2 1 2 . 5 ft 8 ft A= (b1 + b2)h 10 ft A= (b1 + b2)h 3 EXAMPLE Finding the Area of a Trapezoid Find the area of the trapezoid shown. Write formula for area of a trapezoid. 8 (5 + 10) Substitute 5 for b1, 10 forb2 , and 8 for h. = 60 Simplify. ANSWER The area of the trapezoid is 60 square feet.

  9. Areas of Triangles and Trapezoids L E S S O N 11 5 1 2 1 2 1 2 . A= (b1 + b2)h A= (b1 + b2)h (22)h 66= 4 EXAMPLE Finding the Height of a Trapezoid A trapezoid has an area of 66 square meters. The bases are 8meters and 14 meters. Find the height. Write formula for area of a trapezoid. (8 + 14)h 66 Substitute 66 for A, 8 for b1, and 14 forb2. Add. 66 = 11h Multiply. 6 = h Divide each side by 11. ANSWER The height of the trapezoid is 6 meters.

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