Perimeter And Area
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Understanding area and perimeter can help me to know what it will cost me to put a new floor in my home or put a fence around my yard.
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True
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False
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Explore the practical applications of geometry with this quiz on perimeter and area. Understand how these measurements are crucial for everyday tasks like flooring your home or fencing your yard. Calculate perimeters and areas of various shapes to enhance your mathematical skills.
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- 2.
What is the area of the figure?
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4
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8
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2
Correct Answer
A. 8Explanation
The area of the figure is 8 because the figure is a rectangle with a length of 4 units and a width of 2 units. To find the area of a rectangle, you multiply the length by the width, which in this case is 4 x 2 = 8.Rate this question:
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- 3.
Which number sentence represents the area of the figure?
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3 + 6 =
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3 x 6 =
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3 + 6 + 3 + 6 =
Correct Answer
A. 3 x 6 =Explanation
The number sentence "3 x 6 =" represents the area of the figure because it is a multiplication equation, and the area of a figure is calculated by multiplying the length by the width. In this case, the length is 3 and the width is 6, so multiplying them together gives us the area of the figure.Rate this question:
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- 4.
Which number sentence represents the area of the figure?
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2 + 4 =
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4 + 4 =
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4 x 2 =
Correct Answer
A. 4 x 2 =Explanation
The number sentence 4 x 2 = represents the area of the figure.Rate this question:
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- 5.
Which number sentence represents the perimeter of the figure?
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4+6+4+6 =
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4 + 6 =
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6 x 4 =
Correct Answer
A. 4+6+4+6 =Explanation
The given number sentence, 4+6+4+6, represents the perimeter of the figure.Rate this question:
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- 6.
For which figure would the perimeter be solved by the number sentence 4+6+4+6?a. b. c.
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Figure a
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Figure b
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Figure c
Correct Answer
A. Figure cExplanation
Figure c would have a perimeter that is solved by the number sentence 4+6+4+6 because it has sides of length 4 and 6. The perimeter of a figure is the sum of the lengths of all its sides, so adding up the lengths of the sides in figure c gives us a perimeter of 20.Rate this question:
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- 7.
A rectangle has a length of 8 meters and a width of 5 meters. What is its perimeter and area?
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Perimeter: 26 meters, Area: 40 square meters
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Perimeter: 26 meters, Area: 30 square meters
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Perimeter: 40 meters, Area: 26 square meters
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Perimeter: 30 meters, Area: 40 square meters
Correct Answer
A. Perimeter: 26 meters, Area: 40 square metersExplanation
To find the perimeter and area of a rectangle with a length of 8 meters and a width of 5 meters:
The perimeter is calculated by adding the length and the width, then multiplying by 2. So, (8 + 5) times 2 equals 26 meters.
The area is calculated by multiplying the length by the width. So, 8 times 5 equals 40 square meters.
Therefore, the correct answer is: Perimeter: 26 meters, Area: 40 square metersRate this question:
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- 8.
Which figure has an area of 5? a. b. c.
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A
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B
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C
Correct Answer
A. A -
- 9.
Considering a single cube is a unit, what will be the perimeter of a rectangle formed by eight such cubes?
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12
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4
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4 x 2
Correct Answer
A. 12Explanation
If a single cube has a unit area (which means each face of the cube has a side length of 1 unit), and you arrange 8 of these cubes to form a rectangular shape, it would be a 2x2x2 cube.
To find the perimeter of this rectangular shape, you can add up the lengths of all the edges. In this case, the perimeter would be:
Perimeter = 2 * (length + width + height)
Perimeter = 2 * (2 + 2 + 2)
Perimeter = 2 * 6
Perimeter = 12 units
So, the perimeter of the rectangle formed by 8 such cubes would be 12 units.Rate this question:
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- 10.
A rectangle has a perimeter of 26 cm and an area of 40 cm². What is the difference between the length and width of the rectangle?
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2 cm
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3 cm
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5 cm
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6 cm
Correct Answer
A. 3 cmExplanation
Let the length of the rectangle be 'l' and the width be 'w'. We are given:
Perimeter: 2(l + w) = 26 cm, which simplifies to l + w = 13 cm
Area: l * w = 40 cm²
We need to find the difference between the length and width, i.e., |l - w|.
To solve this, we can use the fact that (l + w)² - 4lw = (l - w)².
Substituting the given values: 13² - 4 * 40 = (l - w)² This simplifies to 169 - 160 = (l - w)² Therefore, 9 = (l - w)² Taking the square root of both sides, we get |l - w| = 3 cm.Rate this question:
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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
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Oct 15, 2024Quiz Edited by
ProProfs Editorial Team -
Apr 21, 2014Quiz Created by
Susan Johnson
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