1 / 8

Area of Composite Shapes

Area of Composite Shapes. We are learning to…find the area of composite shapes (shapes made up of more than one figure). Tuesday, April 1, 2014. Area of Composite Shapes Review of Important Area Formulas. Area of a Rectangle: A = b(h) Area of a Triangle: A = ½(b)(h) Area of a Circle:

tammy
Télécharger la présentation

Area of Composite Shapes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Area of Composite Shapes We are learning to…find the area of composite shapes (shapes made up of more than one figure). Tuesday, April 1, 2014

  2. Area of Composite ShapesReview of Important Area Formulas • Area of a Rectangle: • A = b(h) • Area of a Triangle: • A = ½(b)(h) • Area of a Circle: • A = πr2 • Area of a Parallelogram: • A = b(h) • Area of a Trapezoid: • A = ½(b1 + b2)h

  3. 4 feet 10 feet Area of Composite ShapesExample #1: Find the area of the composite shape below. Plan: + Area of ½ Circle Area of a Rectangle + ½ πr2 l(w) + ½ π(2)2 4(10) 4(10) + ½ π(4) Diameter = 4 feet 40 + ½ π(4) Radius = 2 feet 40 + (1.57)(4) 40 + 6.28 46.28 square feet

  4. 4 cm Area of Composite ShapesExample #2: Find the area of the shaded region. Plan: - Area of Circle Area of a Square - πr2 l(w) 4 cm - π(2)2 4(4) 4 cm 4(4) - π(4) 16 - π(4) 16 - 12.56 4 cm 3.44 square cm

  5. 6 in 4 in 5 in 12 in Area of Composite ShapesExample #3: Find the area of the shaded region. Plan: - Area of a Triangle Area of a Trapezoid - ½(b)(h) ½(b1 + b2)(h) - ½(6)(4) ½(6 + 12)(4) ½(18)(4) - ½(6)(4) 36 - ½(6)(4) 36 - 12 24 square inches

  6. 15 ft 8 ft 10 ft 6 ft Area of Composite ShapesExample #4: Find the area of the shaded region. Plan: - Area of a Circle Area of a Trapezoid - πr2 ½(b1 + b2)(h) - π(4)2 ½(6 + 15)(8) ½(21)(8) - π(4)2 ½(21)(8) - π(16) 84 - π(16) 84 – 50.24 33.76 square feet

  7. 9 inches 18 in 11 inches 5 in Area of Composite ShapesExample #5: Find the area of the polygon below. Plan: Area of a Rectangle + Area of a Rectangle + lw l(w) 18 – 5 = 13 inches + 5(20) 9(13) 117 + 5(20) 117 + 100 217 Square inches 9 + 11 = 20 inches

  8. Individual Practice • Try the last example with your team! • When you are done raise your hand and show your teacher the solution.

More Related