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GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #13 : Area Of A Triangle

What is the area of a triangle with a length of 2x^2 and a height of 3x^2-4 ?

Possible Answers:

3x^4-4x^2

6x^4-4x^2

3x^2-4x

3x^4-8x^2

6x^4-8x^2

Correct answer:

3x^4-4x^2

Explanation:

Write the formula for the area of a triangle.

$A =\frac{BH}{2}$

Substitute the dimensions.

$A =\frac{(2x^2)(3x^2-4)}{2} = (x^2)(3x^2-4)$

Expand the terms.

The answer is: 3x^4-4x^2

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Example Question #221 : Geometry And Graphs

Determine the area of a triangle with a base of 16 and a height of 12.

Possible Answers:

182

192

Correct answer:

Explanation:

Write the formula for the area of a triangle.

$A= \frac{BH}{2}$

Substitute the base and height into the equation.

$A= \frac{16(12)}{2} = 8(12) = 96$

The answer is:

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Example Question #15 : Area Of A Triangle

Find the area of a triangle with a base of 7in and a height of 10in.

Possible Answers:

$17\text{in}^2$

$70\text{in}^2$

$35\text{in}^2$

$34\text{in}^2$

$27\text{in}^2$

Correct answer:

$35\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$A = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 7in. We know the height of the triangle is 10in. So, we can substitute. We get

$A = \frac{1}{2} \cdot 7\text{in} \cdot 10\text{in}$

$A = \frac{1}{2} \cdot 10\text{in} \cdot 7\text{in}$

$A = 5\text{in} \cdot 7\text{in}$

$A = 35\text{in}^2$

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Example Question #16 : Area Of A Triangle

Find the area of a triangle with a base of 14in and a height of 8in.

Possible Answers:

$224\text{in}^2$

$30\text{in}^2$

$24\text{in}^2$

$56\text{in}^2$

$112\text{in}^2$

Correct answer:

$56\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$A = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 14in. We know the height of the triangle is 8in. So, we substitute. We get

$A = \frac{1}{2} \cdot 14\text{in} \cdot 8\text{in}$

$A = 7\text{in} \cdot 8\text{in}$

$A = 56\text{in}^2$

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Example Question #21 : Area Of A Triangle

Determine the area of a triangle with a base of and a height of 6x^2 .

Possible Answers:

42x^2

21x^2

$\frac{13}{2}x^2$

42x^3

21x^3

Correct answer:

21x^3

Explanation:

Write the formula for the area of a triangle.

$A = \frac{bh}{2} = \frac{(7x)(6x^2)}{2} = 21x^3$

The answer is: 21x^3

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Example Question #21 : Area Of A Triangle

Find the area of a triangle with a base of 9in and a height that is two times the base.

Possible Answers:

$36\text{in}^2$

$18\text{in}^2$

$27\text{in}^2$

$81\text{in}^2$

$20\text{in}^2$

Correct answer:

$81\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$A = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 9in. We know the height is two times the base. Therefore, the height is 18in. So, we can substitute. We get

$A = \frac{1}{2} \cdot 9\text{in} \cdot 18\text{in}$

$A = \frac{1}{2} \cdot 18\text{in} \cdot 9\text{in}$

$A = 9\text{in} \cdot 9\text{in}$

$A = 81\text{in}^2$

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Example Question #222 : Geometry And Graphs

Find the area of a triangle with a height of 40 and a base of 20.

Possible Answers:

400

800

160

1600

Correct answer:

400

Explanation:

Write the formula for the area of a triangle.

$A= \frac{bh}{2}$

Substitute the base and height into the equation.

$A= \frac{20(40)}{2} = \frac{800}{2} = 400$

The answer is: 400

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Example Question #223 : Geometry And Graphs

Find the area of a triangle with a base of 6 and a height of 30.

Possible Answers:

180

Correct answer:

Explanation:

Write the formula for the area of a triangle.

$A= \frac{bh}{2} = \frac{6\times 30}{2} = 3\times 30 = 90$

The answer is:

Report an Error

Example Question #224 : Geometry And Graphs

What is the area of a triangle with a base of 8 and a height of 30?

Possible Answers:

120

240

Correct answer:

120

Explanation:

Write the formula for the area of a triangle.

$A =\frac{bh}{2}$

Substitute the dimensions.

$A =\frac{8(30)}{2} = 4(30) = 120$

The answer is: 120

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Example Question #225 : Geometry And Graphs

Find the area of a triangle with a base of 100 and a height of 300.

Possible Answers:

24000

15000

30000

18000

12000

Correct answer:

15000

Explanation:

Write the formula for the area of a triangle.

$A = \frac{bh}{2}$

Substitute the base and the height into the equation.

$A = \frac{(100)(300)}{2} = 100(150 ) = 15000$

The answer is: 15000

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GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #13 : Area Of A Triangle

Example Question #221 : Geometry And Graphs

Example Question #15 : Area Of A Triangle

Example Question #16 : Area Of A Triangle

Example Question #21 : Area Of A Triangle

Example Question #21 : Area Of A Triangle

Example Question #222 : Geometry And Graphs

Example Question #223 : Geometry And Graphs

Example Question #224 : Geometry And Graphs

Example Question #225 : Geometry And Graphs

All GED Math Resources

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