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Pre-Algebra : Area of a Triangle

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Example Questions

Example Question #31 : Area Of A Triangle

The base of a triangle is $\displaystyle 8$ inches, and the height of the triangle is $\displaystyle 12$ inches. What is the area of the triangle?

Possible Answers:

$\displaystyle 46$ square inches

$\displaystyle 48$ square inches

$\displaystyle 50$ square inches

$\displaystyle 40$ square inches

$\displaystyle 52$ square inches

Correct answer:

$\displaystyle 48$ square inches

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

$\displaystyle 48$ square inches

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Example Question #108 : Geometry

The base of a triangle is $\displaystyle 16$ inches, and the height of the triangle is $\displaystyle 8$ inches. What is the area of the triangle?

Possible Answers:

244 $\displaystyle 244$ square inches

$\displaystyle 68$ square inches

$\displaystyle 32$ square inches

$\displaystyle 64$ square inches

128 $\displaystyle 128$ square inches

Correct answer:

$\displaystyle 64$ square inches

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

$\displaystyle 64$ square inches

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Example Question #31 : Area Of A Triangle

The base of a triangle is 7.5 $\displaystyle 7.5$ inches, and the height of the triangle is 9.4 $\displaystyle 9.4$ inches. What is the area of the triangle?

Possible Answers:

45.25 $\displaystyle 45.25$ square inches

35.35 $\displaystyle 35.35$ square inches

25.25 $\displaystyle 25.25$ square inches

35.45 $\displaystyle 35.45$ square inches

35.25 $\displaystyle 35.25$ square inches

Correct answer:

35.25 $\displaystyle 35.25$ square inches

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

35.25 $\displaystyle 35.25$ square inches

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Example Question #111 : Area

Find the area of a triangle with a base of 4cm and a height that is two times the base.

Possible Answers:

$16\text{cm}^2$ $\displaystyle 16\text{cm}^2$

$32\text{cm}^2$ $\displaystyle 32\text{cm}^2$

$16\text{cm}$ $\displaystyle 16\text{cm}$

$4\text{cm}^2$ $\displaystyle 4\text{cm}^2$

$32\text{cm}$ $\displaystyle 32\text{cm}$

Correct answer:

$16\text{cm}^2$ $\displaystyle 16\text{cm}^2$

Explanation:

The formula to find the area of a triangle is

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

where b is the base and h is the height. We know the base of our triangle is 4cm. We know the height is two times the base, so the height is 8cm. Now, we substitute

$A = \frac{1}{2} \cdot 4\text{cm} \cdot 8\text{cm}$ $\displaystyle A = \frac{1}{2} \cdot 4\text{cm} \cdot 8\text{cm}$

$A = 2\text{cm} \cdot 8\text{cm}$ $\displaystyle A = 2\text{cm} \cdot 8\text{cm}$

$A = 16\text{cm}^2$ $\displaystyle A = 16\text{cm}^2$

Therefore, the area of the triangle is $16\text{cm}^2$ $\displaystyle 16\text{cm}^2$.

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Example Question #33 : Area Of A Triangle

The base of a triangle is $\displaystyle 4$ inches, and the height of the triangle is $\displaystyle 9$ inches. What is the area of the triangle?

Possible Answers:

$\displaystyle 16$ square inches

$\displaystyle 17$ square inches

$\displaystyle 18$ square inches

$\displaystyle 19$ square inches

$\displaystyle 15$ square inches

Correct answer:

$\displaystyle 18$ square inches

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

$\displaystyle 18$ square inches

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Example Question #34 : Area Of A Triangle

The base of a triangle is $\displaystyle 12$ inches, and the height of the triangle is 8.9 $\displaystyle 8.9$ inches. What is the area of the triangle?

Possible Answers:

55.4 $\displaystyle 55.4$ square inches

51.4 $\displaystyle 51.4$ square inches

53.3 $\displaystyle 53.3$ square inches

52.4 $\displaystyle 52.4$ square inches

53.4 $\displaystyle 53.4$ square inches

Correct answer:

53.4 $\displaystyle 53.4$ square inches

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

53.4 $\displaystyle 53.4$ square inches

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Example Question #31 : Area Of A Triangle

The base of a triangle is $\displaystyle x$ inches, and the height of the triangle is $\displaystyle y$ inches. What is the area of the triangle?

Possible Answers:

$\frac{2xy}{2}$ $\displaystyle \frac{2xy}{2}$ square inches

$\frac{3x}{2}$ $\displaystyle \frac{3x}{2}$ square inches

$\frac{y}{2}$ $\displaystyle \frac{y}{2}$ square inches

$\frac{xy}{2}$ $\displaystyle \frac{xy}{2}$ square inches

$\frac{x}{2}$ $\displaystyle \frac{x}{2}$ square inches

Correct answer:

$\frac{xy}{2}$ $\displaystyle \frac{xy}{2}$ square inches

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

$\frac{xy}{2}$ $\displaystyle \frac{xy}{2}$ square inches

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Example Question #111 : Geometry

The base of a triangle is $\displaystyle t$ inches, and the height of the $\displaystyle 8$ triangle is inches. What is the area of the triangle?

Possible Answers:

$\displaystyle 8t$ square inches

14t $\displaystyle 14t$ square inches

$\displaystyle 2t$ square inches

$\displaystyle 4t$ square inches

$\displaystyle 6t$ square inches

Correct answer:

$\displaystyle 4t$ square inches

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

$\displaystyle 4t$ square inches

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Example Question #31 : Area Of A Triangle

A triangle with a base of 14 inches and height of 22 inches has an area of what?

Possible Answers:

84in^2 $\displaystyle 84in^2$

36in^2 $\displaystyle 36in^2$

154in^2 $\displaystyle 154in^2$

308in^2 $\displaystyle 308in^2$

77in^2 $\displaystyle 77in^2$

Correct answer:

154in^2 $\displaystyle 154in^2$

Explanation:

The formula for the area of a triangle is:

$\frac{1}{2} * base * height$ $\displaystyle \frac{1}{2} * base * height$

$\frac{1}{2} * 14 * 22 = 154in ^2$ $\displaystyle \frac{1}{2} * 14 * 22 = 154in ^2$

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Example Question #32 : Area Of A Triangle

If Joan has a triangle-shaped plot for her garden, with the base measuring 3 ft and the heigh measuring 4 ft, what is the area of her garden?

Possible Answers:

$\displaystyle 12$ ft^2 $\displaystyle ft^2$

$\displaystyle 6$ ft^2 $\displaystyle ft^2$

$\displaystyle 7$ ft^2 $\displaystyle ft^2$

$\displaystyle 3$ ft^2 $\displaystyle ft^2$

Correct answer:

$\displaystyle 6$ ft^2 $\displaystyle ft^2$

Explanation:

To find the area of a triangle, use the formula $\frac{1}{2}(b\times h)$ $\displaystyle \frac{1}{2}(b\times h)$or $\frac{b\times h}{2}$ $\displaystyle \frac{b\times h}{2}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ (3x4)= $\displaystyle (3x4)=$

$\frac{1}{2}(12)=$ $\displaystyle \frac{1}{2}(12)=$

$\displaystyle 6$ square ft

$\frac{(3x4)}{2}=$ $\displaystyle \frac{(3x4)}{2}=$

$\frac{12}{2}=$ $\displaystyle \frac{12}{2}=$

$\displaystyle 6$ square ft

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Pre-Algebra : Area of a Triangle

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #31 : Area Of A Triangle

Example Question #108 : Geometry

Example Question #31 : Area Of A Triangle

Example Question #111 : Area

Example Question #33 : Area Of A Triangle

Example Question #34 : Area Of A Triangle

Example Question #31 : Area Of A Triangle

Example Question #111 : Geometry

Example Question #31 : Area Of A Triangle

Example Question #32 : Area Of A Triangle

All Pre-Algebra Resources

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