
Coordinate Geometry: Area & Perimeter Challenges for 6th Grade
Authored by Anthony Clark
English, Mathematics
6th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangle has vertices at (1, 1), (1, 4), (5, 1), and (5, 4). What is the area and perimeter of this rectangle?
Area: 10, Perimeter: 16
Area: 15, Perimeter: 18
Area: 12, Perimeter: 14
Area: 8, Perimeter: 20
Tags
CCSS.HSG.GPE.B.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has vertices at (2, 3), (4, 7), and (6, 3). Calculate the area of the triangle using the coordinates of its vertices.
6
10
12
8
Tags
CCSS.HSG.GPE.B.7
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A park is shaped like a trapezoid with vertices at (0, 0), (4, 0), (3, 3), and (1, 3). What is the area of the park?
12
9
15
6
Tags
CCSS.HSG.GPE.B.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A square is plotted on the coordinate plane with one vertex at (2, 2) and the opposite vertex at (6, 6). What is the perimeter of the square?
8
20
12
16
Tags
CCSS.HSG.GPE.B.7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has corners at (0, 0), (0, 8), (6, 0), and (6, 8). If a path of 1 unit width is built around the garden, what is the new perimeter of the garden including the path?
24 units
30 units
40 units
36 units
Tags
CCSS.3.MD.D.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has vertices at (1, 1), (1, 5), and (4, 1). What is the perimeter of the triangle?
15
8
12
10
Tags
CCSS.HSG.GPE.B.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular swimming pool is located at (2, 2), (2, 7), (7, 2), and (7, 7). If the pool is filled with water to a depth of 2 feet, what is the volume of water in cubic feet?
70 cubic feet
50 cubic feet
100 cubic feet
30 cubic feet
Tags
CCSS.5.MD.C.5B
CCSS.6.G.A.2
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