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Pre-Algebra : Geometry

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #24 : Area Of A Triangle

If the base of a triangle is $\displaystyle 2x$ and the height is $\displaystyle 4x$ , what is the area of the triangle?

Possible Answers:

12x $\displaystyle 12x$

18x^2 $\displaystyle 18x^2$

4x^2 $\displaystyle 4x^2$

8x^2 $\displaystyle 8x^2$

6x^2 $\displaystyle 6x^2$

Correct answer:

4x^2 $\displaystyle 4x^2$

Explanation:

Write the formula for finding the area of a triangle.

$A=\frac{\textup{ Base} \times \textup{ Height}}{2}$

Substitute the base and the height.

$A=\frac{2x\times 4x}{2}$ $\displaystyle A=\frac{2x\times 4x}{2}$

Multiply the numerator.

$A=\frac{8x^2}{2}$ $\displaystyle A=\frac{8x^2}{2}$

Divide by two.

The area is: A=4x^2 $\displaystyle A=4x^2$

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Example Question #25 : Area Of A Triangle

Find the area with a base of $\displaystyle 2x$ and a height of 6x^2 $\displaystyle 6x^2$ .

Possible Answers:

8x^3 $\displaystyle 8x^3$

x+3x^2 $\displaystyle x+3x^2$

$\displaystyle 4x+12x^2$

12x^3 $\displaystyle 12x^3$

6x^3 $\displaystyle 6x^3$

Correct answer:

6x^3 $\displaystyle 6x^3$

Explanation:

Write the formula for the area of a triangle.

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

Substitute the base and the height.

$A=\frac{(2x)(6x^2)}{2}$ $\displaystyle A=\frac{(2x)(6x^2)}{2}$

Cancel out the two in the numerator and denominator.

$A=\frac{(2x)(6x^2)}{2} = x(6x^2)$ $\displaystyle A=\frac{(2x)(6x^2)}{2} = x(6x^2)$

Multiply both terms together.

A=6x^3 $\displaystyle A=6x^3$

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Example Question #41 : Geometry

What is the area (in square feet) of a triangle with a base of $\displaystyle 4$ feet and a height of $\displaystyle 7$ feet?

Possible Answers:

$\displaystyle 28$

$\displaystyle 21$

$\displaystyle 14$

$\displaystyle 7$

Correct answer:

$\displaystyle 14$

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by $\displaystyle 2$ .

$Area =\frac{base\cdot height}{2}$ $\displaystyle Area =\frac{base\cdot height}{2}$

$Area =\frac{4\cdot 7}{2}$ $\displaystyle Area =\frac{4\cdot 7}{2}$

Area=14 $\displaystyle Area=14$

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Example Question #23 : Area Of A Triangle

What is the area of a triangle with a base of $\displaystyle 12$ and a height of $\displaystyle 3$ ?

Possible Answers:

$\displaystyle 36$

$\displaystyle 21$

$\displaystyle 24$

$\displaystyle 8$

$\displaystyle 18$

Correct answer:

$\displaystyle 18$

Explanation:

The formula for the area of a triangle is $\dpi{100} Area=\frac{1}{2}\times base\times height$ .

Plug the given values into the formula to solve:

$\dpi{100} Area=\frac{1}{2}\times 12\times 3$

$\dpi{100} Area=\frac{1}{2}\times 36$

$\dpi{100} Area=18$ $\displaystyle \dpi{100} Area=18$

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Example Question #102 : Geometry

The base of a triangle is $\displaystyle 2$ inches, and the height of the triangle is $\displaystyle 9$ inches. What is the area of the triangle?

Possible Answers:

$\displaystyle 15$ in^2 $\displaystyle in^2$

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

$\displaystyle 8$ in^2 $\displaystyle in^2$

$\displaystyle 9$ in^2 $\displaystyle in^2$

$\displaystyle 18$ in^2 $\displaystyle in^2$

Correct answer:

$\displaystyle 9$ in^2 $\displaystyle in^2$

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two.

The best answer is:

$A=\frac{b\times h}{2}=\frac{2\times 9}{2}=9$ $\displaystyle A=\frac{b\times h}{2}=\frac{2\times 9}{2}=9$

$\displaystyle 9$ in^2 $\displaystyle in^2$

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Example Question #23 : Area Of A Triangle

The base of a triangle is $\displaystyle 4$ inches, and the height is $\displaystyle 7$ inches. What is its area?

Possible Answers:

$\displaystyle 28$ in^2 $\displaystyle in^2$

$\displaystyle 14$ in^2 $\displaystyle in^2$

$\displaystyle 18$ in^2 $\displaystyle in^2$

$\displaystyle 4$ in^2 $\displaystyle in^2$

$\displaystyle 7$ in^2 $\displaystyle in^2$

Correct answer:

$\displaystyle 14$ in^2 $\displaystyle in^2$

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two.

The best answer is:

$A=\frac{b\times h}{2}=\frac{4\times 7}{2}=\frac{28}{2}=14$ $\displaystyle A=\frac{b\times h}{2}=\frac{4\times 7}{2}=\frac{28}{2}=14$

$\displaystyle 14$ in^2 $\displaystyle in^2$

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Example Question #24 : Area Of A Triangle

The base of a triangle is $\displaystyle 4$ inches, and the height of the triangle is $\displaystyle 6$ inches. What is the area of the triangle?

Possible Answers:

$\displaystyle 12$ square inches

$\displaystyle 14$ square inches

$\displaystyle 16$ square inches

$\displaystyle 10$ square inches

$\displaystyle 8$ square inches

Correct answer:

$\displaystyle 12$ square inches

Explanation:

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

$\displaystyle 12$ square inches

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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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Pre-Algebra : Geometry

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #24 : Area Of A Triangle

Example Question #25 : Area Of A Triangle

Example Question #41 : Geometry

Example Question #23 : Area Of A Triangle

Example Question #102 : Geometry

Example Question #23 : Area Of A Triangle

Example Question #24 : Area Of A Triangle

Example Question #31 : Area Of A Triangle

Example Question #108 : Geometry

Example Question #31 : Area Of A Triangle

All Pre-Algebra Resources

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