Finding Area and Perimeter with Coordinate Geometry

A rectangle has vertices at (1, 1), (1, 4), (5, 1), and (5, 4). What is the perimeter of the rectangle?

• 14

• 12

• 16

• 10

Tags

CCSS.HSG.GPE.B.7

Find the area of a triangle with vertices at (0, 0), (4, 0), and (2, 3).

• 10

• 8

• 6

• 4

Tags

CCSS.HSG.GPE.B.7

A square is positioned in the coordinate plane with one vertex at (2, 2) and the opposite vertex at (6, 6). What is the area of the square?

• 10

• 8

• 16

• 4

Tags

CCSS.6.G.A.3

A trapezoid has vertices at (0, 0), (4, 0), (3, 3), and (1, 3). Calculate the perimeter of the trapezoid.

• 10

• 4 + 4√2

• 8 + 2√5

• 6 + 2√10

Tags

CCSS.HSG.GPE.B.7

Determine the area of a parallelogram with vertices at (1, 1), (4, 1), (5, 4), and (2, 4).

• 4.5

• 5

• 3.5

• 6

Tags

CCSS.HSG.GPE.B.7

A garden is shaped like a right triangle with vertices at (0, 0), (6, 0), and (0, 8). What is the area of the garden?

• 20

• 30

• 24

• 18

Tags

CCSS.HSG.GPE.B.7

A rectangle is formed by the points (2, 3), (2, 7), (6, 3), and (6, 7). What is the perimeter of the rectangle?

• 20

• 12

• 24

• 16

Tags

CCSS.HSG.GPE.B.7

Find the area of a quadrilateral with vertices at (1, 1), (4, 1), (4, 5), and (1, 5).

• 15

• 8

• 10

• 12

Tags

CCSS.HSG.GPE.B.7

A triangular park has vertices at (0, 0), (0, 6), and (8, 0). What is the perimeter of the park?

• 24

• 20

• 18

• 30

Tags

CCSS.HSG.GPE.B.7

Calculate the area of a rectangle with corners at (3, 2), (3, 5), (7, 2), and (7, 5).

• 15

• 12

• 8

• 10

Tags

CCSS.HSG.GPE.B.7