Area and Perimeter Challenges on the Coordinate Plane

A rectangle is plotted on a coordinate plane with vertices at (1, 1), (1, 4), (5, 4), and (5, 1). What is the area of the rectangle?

• 15

• 12

• 10

• 8

Using the same rectangle, what is the perimeter of the rectangle?

• L + W

• L * W

• 2 * (L + W)

• 2 * (L - W)

A triangular park has vertices at (2, 3), (5, 7), and (8, 3). Calculate the area of the triangular park.

• 15

• 8

• 10

• 12

What is the perimeter of the triangular park with vertices at (2, 3), (5, 7), and (8, 3)?

• 14

• 20

• 16

• 12

A square garden is located on a coordinate plane with corners at (0, 0), (0, 6), (6, 6), and (6, 0). What is the area of the garden?

• 36

• 24

• 18

• 30

What is the perimeter of the square garden with corners at (0, 0), (0, 6), (6, 6), and (6, 0)?

• 24

• 18

• 30

• 12

A rectangular swimming pool is represented on a coordinate plane with corners at (3, 2), (3, 8), (10, 8), and (10, 2). Calculate the area of the swimming pool.

• 50

• 30

• 42

• 36

What is the perimeter of the swimming pool with corners at (3, 2), (3, 8), (10, 8), and (10, 2)?

• 24

• 30

• 26

• 20

A trapezoidal plot of land has vertices at (1, 1), (4, 1), (5, 4), and (0, 4). Find the area of the trapezoid.

• 10

• 12

• 15

• 8

Calculate the perimeter of the trapezoidal plot of land with vertices at (1, 1), (4, 1), (5, 4), and (0, 4).

• 8 + 2*sqrt(10)

• 10

• 6 + 2*sqrt(5)

• 12 + sqrt(2)