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GED Math : Area of a Triangle

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Example Questions

Example Question #1172 : Ged Math

Find the area of a triangle with a base of 16x^2 and a height of .

Possible Answers:

64x^3

16x^2+4x

64x^5

32x^3

8x^2+2x

Correct answer:

32x^3

Explanation:

Write the area for a triangle.

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

Substitute the base and height.

$A= \frac{(16x^2)(4x)}{2} = \frac{64x^3}{2} = 32x^3$

The answer is: 32x^3

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Example Question #32 : Triangles

Find the area of a triangle with a base of 14in and a height of 9in.

Possible Answers:

$88\text{in}^2$

$72\text{in}^2$

$54\text{in}^2$

$126\text{in}^2$

$63\text{in}^2$

Correct answer:

$63\text{in}^2$

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 and the height is 9in. So, we can substitute. We get

$A = \frac{1}{2} \cdot 14\text{in} \cdot 9\text{in}$

$A = 7\text{in} \cdot 9\text{in}$

$A = 63\text{in}^2$

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Example Question #11 : Area Of A Triangle

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

Possible Answers:

108

Correct answer:

Explanation:

Write the formula for a triangle.

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

Substitute the dimensions and find the area.

$A = \frac{(12)(3)}{2} = 6(3) = 18$

The answer is:

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Example Question #33 : Triangles

Find the area of a triangle with a base length of 6 and a height of $\frac{1}{4}$ .

Possible Answers:

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{4}$

Explanation:

Write the area for a triangle.

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

Substitute the base and height into the equation.

$A = \frac{6(\frac{1}{4})}{2} = 3(\frac{1}{4}) = \frac{3}{4}$

The answer is: $\frac{3}{4}$

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Example Question #12 : Area Of A Triangle

Determine the area of the triangle if the base is 12 and the height is 20.

Possible Answers:

180

240

120

Correct answer:

120

Explanation:

Write the formula for the area of a triangle.

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

Substitute the base and height into the equation.

$A=\frac{(12)(20)}{2} = 6(20) =120$

The answer is: 120

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Example Question #13 : Area Of A Triangle

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

Possible Answers:

120

180

Correct answer:

Explanation:

Write the formula for the area of a triangle.

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

Substitute the base and height into the formula.

$A= \frac{6(30)}{2} = \frac{180}{2} = 90$

The answer is:

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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 #14 : Area Of A Triangle

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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GED Math : Area of a Triangle

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1172 : Ged Math

Example Question #32 : Triangles

Example Question #11 : Area Of A Triangle

Example Question #33 : Triangles

Example Question #12 : Area Of A Triangle

Example Question #13 : Area Of A Triangle

Example Question #13 : Area Of A Triangle

Example Question #14 : Area Of A Triangle

Example Question #15 : Area Of A Triangle

Example Question #16 : Area Of A Triangle

All GED Math Resources

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