1.4 Perimeter and Area in the Coordinate Plane

​1.4 Perimeter and Area in the Coordinate Plane

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" It always seems impossible until it's done"

-Nelson Mandela

Your Mission

• Calculate the Area of Geometric Shapes on the Coordinate Axis.

• Calculate the Perimeter of Geometric Shapes on the Coordinate Axis.

Your Tools

Multiple Choice

What is the area of the rectangle? #39.

• 28 units squared

• 45 units squared

• 33 units squared

• 19 units squared

Multiple Choice

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? #19

• 28 feet²

• 49 feet²

• 56 feet²

• 64 feet²

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Multiple Choice

What is the area of the rectangle shown on the coordinate grid? #13

• 15 square units

• 24 square units

• 30 square units

• 50 square units

Fill in the Blank

What is the area of square ABCD? #3

USE THE DISTANCE FORMULA AND REMEMBER A=bh

Multiple Choice

Square ABCD has vertices A(-2,-3), B(4, -1), C(2, 5), and D(-4, -3). What is the area of the square? #22

• $$2\sqrt{10}$$

• $$4\sqrt{10}$$

• 40

• 20

Multiple Choice

What is the perimeter of the shape? #7

• 20 units

• 12 units squared

• 22 units

• 32 units squared

Multiple Choice

What is the perimeter of the rectangle? (Round to the nearest tenth) #28

• 18

• about 23.6

• about 25.1

• about 21.6

Multiple Choice

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)? #25

• 65

• 8.06

• 14

• 19.06

Multiple Choice

What is the area of this figure? #40

• 7 units²

• 15 units²

• 7.5 units²

• 15.5 units²

Multiple Choice

Given ΔBUG as shown with

B(-3,-1), U(-3,3) and G(4,1).

Find the area of triangle BUG. #28

• 28 square units

• $$\sqrt{28}$$ square units

• 14 square units

• 12 square units

Fill in the Blank

Given ΔNUF as shown with N(1,3),

U(5,6), and F(4,-1).

Find the area of right ΔNUF. #15

.

Multiple Choice

Find the exact area of  $$\Delta RST$$  .

HINT: USE THE DISTANCE FORMULA TO FIND THE BASE AND HEIGHT OF THE TRIANGLE. #4 $$Area\ of\ a\ Triangle=\frac{\left(base\right)\times height}{2}$$  

• $$9\sqrt{3}+15$$  

• $$9\sqrt{5}+15$$  

• 45

• 90

Multiple Choice

Find the perimeter. Round to the nearest tenth, if necessary. #17

• 20

• 18.5

• 11

• 33.5