HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #41 : How To Find The Area Of A Figure

What is the area of the figure below?


7

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

7.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #42 : How To Find The Area Of A Figure

What is the area of the figure below?

6

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

6.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #43 : How To Find The Area Of A Figure

What is the area of the figure below?


5

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

5.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #44 : How To Find The Area Of A Figure

What is the area of the figure below?


4

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

4.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #45 : How To Find The Area Of A Figure

What is the area of the figure below?

3

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

3.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #271 : Geometric Measurement: Understanding Concepts Of Area And Relating Area To Multiplication And To Addition

What is the area of the figure below?

1

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

1.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #47 : How To Find The Area Of A Figure

What is the area of the figure below?

2

Possible Answers:

Correct answer:

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

2.5

Using our area formula, , we can solve for the area of both of our rectangles

            

           

To find our final answer, we need to add the areas together. 

Example Question #41 : Geometry

What is the area of a triangle with a side lengths of 5?

Possible Answers:

Cannot be determined

Correct answer:

Cannot be determined

Explanation:

The area of a triangle is found with the equation 

.  

Since we do not have the height, we cannot answer the question. 

Example Question #42 : Geometry

What is the area of a triangle with a base of 22 cm and a height of 9 cm? 

Possible Answers:

Correct answer:

Explanation:

Use the area of a triangle formula

Plug in the base and height. This gives you .

Example Question #1 : How To Find The Perimeter Of A Figure

What is the circumference of a circle with a radius of 5?

Possible Answers:

\dpi{100} 25\pi

\dpi{100} 5\pi

\dpi{100} 10\pi

\dpi{100} 50\pi

Correct answer:

\dpi{100} 10\pi

Explanation:

The formula for circumference is \dpi{100} \pi d or \dpi{100} 2\pi r.

Since we are given the radius, we will use \dpi{100} 2\pi r.

\dpi{100} 2\pi r=2\pi (5)=10\pi

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