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6th Grade Math (Math 6) · Chapter 11 · Lesson 11.4 · Printable PDF

Area of a Polygon from Coordinates Worksheet with Answer Key

6 problems on area of a polygon from coordinates: triangles and quadrilaterals, a patio shade sail, finding a base and height error, third vertices for a given area, a Z-shaped carpet, and goat pastures on a farm map. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Area of a polygon from coordinates worksheet with answer key - 6th Grade Math (Math 6) (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Find the area of each polygon from its vertices.
    (−7, 2), (−1, 2), (−4, −5)(3, −6), (3, 4), (−2, 8)(−5, −3), (1, −3), (4, 2), (−2, 2)(−6, −4), (−6, 3), (−2, 3), (2, −4)(−3, 5), (−3, −1), (4, −4), (4, 7)
  2. Word problem: find the area of a triangular shade sail from the patio plan.
  3. Find the mistake in Mateo's base and height for a triangle.
  4. Find possible third vertices of a triangle with area 20 in different quadrants.
  5. Word problem: find the area of a Z-shaped carpet with 0.5 meter units.
  6. Word problem: compare the areas of two goat pastures on a farm map.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Area of a polygon from coordinates: the lesson ›

More Chapter 11 worksheets: Area, surface area and volume