5. The area of a parallelogram is 56 square meters. What will be the area of the triangles that can be formed from this parallelogram?

The area of each triangle will be 56 square meters divided by 2.

Each triangle will have an area of 112 square meters.

There is no way to determine the area of the triangles formed from the parallelogram.

The area of each triangle will be 56 square meters divided by 3.

6. What is true about the relationship of a rectangle and a triangle created from that rectangle?

The area of the rectangle is twice the area of the triangle.

The area of a rectangle is one-half that of the triangle.

The area of a triangle is twice the area of the rectangle.

There is no relationship between the two.

Area of Triangles

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| By Alohamom

Alohamom

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Quizzes Created: 1 | Total Attempts: 4,885

Questions: 6 | Attempts: 4,909 | Updated: Sep 26, 2023

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$Area Of Triangles - Quiz$

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Questions and Answers

1.

1. What does the letter b stand for in the formula A = bh
- A.
  
  Area
- B.
  
  Base
- C.
  
  Height
- D.
  
  Length
Correct Answer
B. Base

Explanation
In the formula A = bh, the letter b represents the base. The base is the bottom side or surface of a shape, such as a triangle or rectangle, on which the height is measured. In this formula, multiplying the base (b) by the height (h) gives the area (A) of the shape.

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0
2.

2. If a triangle has a base of 8 inches and a height of 4.5 inches, what is its area?SHOW ALL WORK!
- A.
  
  18 inches
- B.
  
  36 square inches
- C.
  
  18 square inches
- D.
  
  36 inches
Correct Answer
C. 18 square inches

Explanation
The formula to calculate the area of a triangle is (base * height) / 2. Plugging in the values given in the question, we get (8 * 4.5) / 2 = 36 / 2 = 18 square inches.

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10
3.

3. If a triangle has an area of 24 square cm, what is its base if the height is 3 cm?
- A.
  
  16 square centimeters
- B.
  
  16 centimeters
- C.
  
  8 square centimeters
- D.
  
  8 centimeters
Correct Answer
B. 16 centimeters

Explanation
The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this question, the area is given as 24 square cm and the height is given as 3 cm. To find the base, we can rearrange the formula to solve for it. By substituting the given values into the formula, we get 24 = (base * 3) / 2. Multiplying both sides of the equation by 2 and dividing by 3, we find that the base is equal to 16 centimeters.

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4
4.

4. What is the area of a parallelogram if the base is 6 feet and the height is 9 feet?
- A.
  
  45 feet
- B.
  
  45 square
- C.
  
  54 feet
- D.
  
  54 square
Correct Answer
D. 54 square

Explanation
The area of a parallelogram is calculated by multiplying the base length by the height. In this case, the base is 6 feet and the height is 9 feet. Therefore, the area is 6 feet multiplied by 9 feet, which equals 54 square feet.

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6
5.

5. The area of a parallelogram is 56 square meters. What will be the area of the triangles that can be formed from this parallelogram?
- A.
  
  Each triangle will have an area of 112 square meters.
- B.
  
  There is no way to determine the area of the triangles formed from the parallelogram.
- C.
  
  The area of each triangle will be 56 square meters divided by 2.
- D.
  
  The area of each triangle will be 56 square meters divided by 3.
Correct Answer
C. The area of each triangle will be 56 square meters divided by 2.

Explanation
The area of a parallelogram can be divided into two congruent triangles by drawing a diagonal. Since the area of the parallelogram is 56 square meters, the area of each triangle will be half of that, which is 56 square meters divided by 2.

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2
1
6.

6. What is true about the relationship of a rectangle and a triangle created from that rectangle?
- A.
  
  The area of a rectangle is one-half that of the triangle.
- B.
  
  The area of the rectangle is twice the area of the triangle.
- C.
  
  The area of a triangle is twice the area of the rectangle.
- D.
  
  There is no relationship between the two.
Correct Answer
B. The area of the rectangle is twice the area of the triangle.

Explanation
The correct answer is that the area of the rectangle is twice the area of the triangle. This relationship holds true because a rectangle can be divided into two congruent triangles by drawing a diagonal across it. Since the area of a triangle is half the area of a rectangle, it follows that the area of the rectangle is twice the area of the triangle.

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2

Area Of Triangles

1. What does the letter b stand for in the formula A = bh

2. If a triangle has a base of 8 inches and a height of 4.5 inches, what is its area?SHOW ALL WORK!

3. If a triangle has an area of 24 square cm, what is its base if the height is 3 cm?

4. What is the area of a parallelogram if the base is 6 feet and the height is 9 feet?

5. The area of a parallelogram is 56 square meters. What will be the area of the triangles that can be formed from this parallelogram?

6. What is true about the relationship of a rectangle and a triangle created from that rectangle?