Drawing Polygons and Calculating the Lengths of Their Sides in Real

World Situations

CCSS.Math.Content.6.G.A.3 Draw polygons in the coordinate plane given

coordinates for the vertices; use coordinates to find the length of a side

joining points with the same first coordinate or the same second

coordinate. Apply these techniques in the context of solving real-world and

mathematical problems.

Mrs. MacQueen would like to determine how many feet of fencing she needs to enclose her flower garden. The vertices of Mrs. MacQueen’s flower garden are: (-2, 6), (3, 6), (-2, -4), (3, -4).

1 unit = 1 foot of fencing

Task 1:Plot the vertices.

Task 2:Calculate the lengths of the garden’s sides to determine how much fencing she will need to surround it.

Answer:

30 ft

Mrs. Fosberg would like to determine how many yards of caution tape she needs to wrap around a trench. The vertices of Mrs. Fosberg’s trench are: (-5, 4), (-2, 4), (-5, -5), (-2, -5).

1 unit = 1 yard of caution tape

Task 1:Plot the vertices.

Task 2:Calculate the lengths of the trench’s sides to determine how much caution tape she will need to surround it.

Answer:

24 yd

Mr. Baldwin would like to determine how many yards he ran during a marathon.The vertices of Mr. Baldwin’s run are: (-2, -1), (4, -1), (4, -6), (-2, -6).

1 unit = 1 yard of the marathon route

Task 1:Plot the vertices.

Task 2:Calculate the lengths of the marathon route’s sides to determine how many yards Mr. Baldwin ran.

Answer:

26 yd

Ms. Gale has lined up her library books to make a rectangle.The vertices of Ms. Gale’s books are: (1, 5), (6, 5), (1, -4), (6, -4).

1 unit = 1 foot of library books

Task 1:Plot the vertices.

Task 2:Calculate the lengths of the books’ sides to determine how many feet of library books Ms. Gale lined up.

Answer:

28 ft

Ivan is installing bricks around his fireplace. Determine how many feet of bricks he will need.The vertices of Ivan’s fireplace are: (-5, 4), (-5, -3), (0, 4), (0, -3).

1 unit = 1 foot of bricks

Task 1:Plot the vertices.

Task 2:Calculate the lengths of the fireplace’s sides to determine how many feet of bricks Ivan will need. Answe

r:24 ft

Old MacDonald is building a fence around a pasture for his horses. Determine how many yards of fencing he will need.

The vertices of Old MacDoland’s fence are:

(-43, 27)(32, 27)(-43, 20)(32, 20)

1 unit = 1 yardUse the coordinate plane to find the lengths of the unknown sides and its perimeter.

Answer:

164 yd

Mrs. Erickson is setting up a dodge ball field for PE. Determine the perimeter of the field.The vertices of Mrs. Erickson’s dodge ball field are:

(50, 29)(13, 29)(50, -15)(13, -15)

1 unit = 1 footUse the coordinate plane to find the lengths of the unknown sides and its perimeter.

Answer:

162 ft

Haley and Nolan are playing Duck, Duck, Goose around a rectangular patch of grass.The vertices of the patch of grass are:

(-37, -18)(-4, -31)(-37, -31)(-4, -18)

1 unit = 1 footUse the coordinate plane to find the lengths of the unknown sides and its perimeter.

Answer:

92 ft

It’s Cardio Friday and the 6th graders are running their laps on the field. The vertices of their path are:

(-27, 32)(64, 32)

(-27, -35)(64, -35)

1 unit = 1 footUse the coordinate plane to find the lengths of the unknown sides and its perimeter.

Answer:

316 ft

Pearl just got a bath and is racing around the dining table.The vertices of her path are:

(-51, -14)(-51, -45)(47, -14)(47, -45)

1 unit = 1 inchUse the coordinate plane to find the lengths of the unknown sides and its perimeter.

Answer:

258 in