Geometry EOG Released (only 3 questions 29,33,44)

Geometry EOG Released (only 3 questions 29,33,44)

Find the dimensions of the shape in feet.

Using the scale at the bottom, we see that each 1 inch= 16 feet. Multiply each side of the shape by 16 to find the dimensions in feet.

Multiple Choice

4 x 16

• 64

• 28

• 48

• 36

Multiple Choice

3 x 16

• 64

• 28

• 48

• 36

Multiple Choice

 $1\ \frac{3}{4}\times16$  

• 64

• 28

• 48

• 36

Multiple Choice

 $2\ \frac{1}{4}\times16$  

• 64

• 28

• 48

• 36

How to find the area

The area of the whole rectangle including the missing part would be 3072.

To find the measure of the missing part, you need to subtract the opposite sides to find the remaining part. See if you can find the missing side without peeking ahead.

The missing part of the rectangle measures 28 x 20.

Fill in the Blanks

What is the area of the missing part of the rectangle?

Fill in the Blanks

Now subtract that from the whole rectangle to find the area of the shape given.

What do we know?

 $To\ find\ the\ area\ of\ the\ circle,\ we\ use\ A=\ \pi\times r^2$  Can you see that the shaded region could fit in the circle about 6 times?
This means that we need to find 1/6 of the area.  
Use the radius to find the area of the whole circle.  

Multiple Choice

What is the area of the whole circle?

• about 154 cm²

• about 615 cm²

Multiple Choice

Now divide that by 6 to determine what 1/6 of the circle would be.

• A

• B

• C

• D

Finding the surface area

• You need to find the area of each of the sides and then total them

• There are 2 triangles

• There are 3 rectangles

•  $Area\ of\ a\ triangle\ A\ =\frac{b\times h}{2}$  

•  $Area\ of\ a\ rec\tan gle\ A\ =\ l\times w$  

Finding the surface area

• The height of the triangle is 3.5cm and the base is 4cm

• Find the area of the triangle using the formula.

• Since the triangles are the same, we can just add another triangle in to get the total of the two triangles.  

Fill in the Blanks

What is the area of one of the triangles?

Fill in the Blanks

What is the area of both of the triangles?

Now for the rectangles

• Each rectangle measures 4cm by 5 cm

• Find the area of one rectangle

• Multiply by 3 to find the total area of all of the rectangles.

Fill in the Blanks

What is the area of one rectangle?

Fill in the Blanks

What is the total area of all 3 rectangles?

Fill in the Blanks

Now add all of the areas together.

2 triangles + 3 rectangles

What is the total surface area?