Graphing polygons in the coordinate plane

You design a tree house using a coordinate plane. You plot the vertices of the floor at J (2, 1), K (2, 8), L(9, 8), and M (9, 1). The coordinates are measured in feet. What is the area of the tree house?

• 28 feet²

• 49 feet²

• 56 feet²

• 64 feet²

Tags

CCSS.6.G.A.3

Prior to going, Ryan read that the lobster population in the area labeled 𝑊𝐺𝐻𝑅 is estimated to be 2500 lobsters.

Determine the density of the lobster population in the area labeled WHGR.

Answer explanation

To determine the density, divide the number of lobsters (2500) by the area (190 mi^2) of WHGR. Density = 2500 lobsters / 190 mi^2 = 13.23 lobster/mi^2.

Tags

CCSS.6.G.A.3

The fourth vertex D of a parallelogram ABCD whose three vertices are A (–2, 3), B (6, 7) and C (8, 3) is

•  (0, 1) 
• (0, –1) 
• (–1, 0) 
• (1, 0)

Tags

CCSS.6.G.A.3

What is the area of this object?

• 48 square units
• 45 square units
• 14 square units
• 10 square units

Tags

CCSS.6.G.A.3

Given the coordinates of Quadrilateral TEAM with vertices at T(-2,3), E(-5,4) , A( 2,-1) and M (5,6). Determine if it is a square.

• YES

• NO

Tags

CCSS.6.G.A.3

What is the area of the rectangle?

• 12 units²
• 10 units²
• 5 units²
• 6 units²

Tags

CCSS.6.G.A.3

What is the area of the given shape?

• $15\ un^2$

• $15\ un$

• $7.5\ un^2$

• $7.5\ un$

Tags

CCSS.6.G.A.3

What is the area of this triangle?

• 70 units²

• 35 units²

• 1,204 units²

• 10 units²

Tags

CCSS.6.G.A.3

Based on the information given, is this shape a square?

• Yes

• No

Tags

CCSS.6.G.A.3

A map of a zoo shows the animal exhibits on a coordinate grid with each square on the grid representing 100 feet by 100 feet. The exhibit for the elephants, rhinoceroses, and hippopotamuses is shown as a polygon-shaped area with the vertices listed below.

Southwest corner (1,6), Northwest corner (3,9),(Northeast corner)(7,9), Southeast corner (5,6)

What is the distance between the northwest and northeast corners of the area?

• 200 feet

• 300 feet

• 400 feet

• 600 feet

Tags

CCSS.6.G.A.3