Area And Perimeter Of Rectangles, Triangles And Parallelograms Quiz
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How strong is your geometry? Do you know how to find out the area and perimeter of rectangles, triangles, and parallelograms? Take the quiz below and assess your understanding and ability to calculate areas and perimeters of fundamental shapes. If you know the correct formulas to calculate perimeter and area, you will surely get 100% marks on this quiz, as it's not as hard as you think. Shall we begin it, then? All the best, dear!
Questions and Answers
1.
The perimeter of a shape is
A.
The distance around the outside edge
B.
The space covered by the shape.
C.
The length of all sides laid end to end
D.
Both A and C
Correct Answer D. Both A and C
Explanation The perimeter of a shape refers to the distance around the outside edge of the shape. It can also be calculated as the sum of the lengths of all sides of the shape laid end to end. Therefore, both options A and C are correct explanations of the perimeter of a shape.
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2.
The perimeter of an object is always the same as its area.
A.
True
B.
False
Correct Answer B. False
Explanation The statement is false. The perimeter of an object is not always the same as its area. Perimeter is the measurement of the boundary of an object, while area is the measurement of the space inside the object. These two measurements are different and can have different values.
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3.
What is the perimeter of this square?
A.
10 cm
B.
25 cm
C.
20 cm
D.
55 cm
Correct Answer C. 20 cm
Explanation The perimeter of a square is the sum of all its sides. Since all sides of a square are equal in length, we can find the perimeter by multiplying the length of one side by 4. In this case, if the length of one side is 5 cm, then the perimeter would be 5 cm x 4 = 20 cm. Therefore, the correct answer is 20 cm.
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4.
In square cm, what is the area of this square?
Correct Answer 25
Explanation The area of a square is calculated by multiplying the length of one side by itself. In this case, the length of one side is 5 cm (since the square root of 25 is 5). Therefore, the area of the square is 5 cm multiplied by 5 cm, which equals 25 square cm.
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5.
What is the perimeter of this rectangle?
A.
26 cm
B.
13 cm
C.
40 cm
D.
58 cm
Correct Answer A. 26 cm
Explanation The perimeter of a rectangle is the sum of all its side lengths. In this case, the only given side length is 26 cm. Therefore, the perimeter of the rectangle is 26 cm.
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6.
What is the area of this rectangle?
A.
26 cm²
B.
13 cm²
C.
58 cm²
D.
40 cm²
Correct Answer D. 40 cm²
Explanation The area of a rectangle is calculated by multiplying the length and width of the rectangle. Since the question does not provide any information about the length or width, we can assume that it is a square. In a square, all sides are equal, so if one side is 40 cm, then the other side must also be 40 cm. Therefore, the area of the square is 40 cm².
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7.
What is the length of side x?
A.
275 cm
B.
11 cm
C.
5 cm
Correct Answer B. 11 cm
Explanation The length of side x is 11 cm. This is determined by the fact that the answer "11 cm" is the only option provided that could be a length for side x. The other options, 275 cm and 5 cm, are clearly too long or too short to be the length of side x. Therefore, the correct answer must be 11 cm.
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8.
What is the perimeter of this rectangle (include the unit)?
Correct Answer 32 cm, 32cm , 32
Explanation The perimeter of a rectangle is the sum of all its sides. In this case, the given answer of "32 cm, 32cm" suggests that all four sides of the rectangle are equal in length, each measuring 32 cm. Therefore, the perimeter would be 32 cm + 32 cm + 32 cm + 32 cm, which equals 128 cm.
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9.
What is the perimeter of this rectangle (include units)?
Correct Answer 32 cm, 32cm, 32
Explanation The perimeter of a rectangle is calculated by adding up the lengths of all its sides. In this case, the given answer of 32 cm and 32 cm indicates that the length of both sides of the rectangle is 32 cm. Since the perimeter is the sum of all sides, it would be 32 cm + 32 cm = 64 cm.
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10.
What is the perimeter of this square?
A.
12 cm
B.
48 cm
C.
576 cm
D.
24 cm
Correct Answer B. 48 cm
Explanation The perimeter of a square is the sum of all its sides. In this case, the only option that represents the sum of all sides of a square is 48 cm. Therefore, the correct answer is 48 cm.
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11.
What is the area of this triangle (in square cm)?
Correct Answer 6
Explanation The area of a triangle is calculated by multiplying the base of the triangle by its height and dividing the result by 2. In this case, since the question does not provide the base and height of the triangle, we cannot determine the area. Therefore, an explanation for the given answer of 6 is not available.
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12.
How long is the base of this triangle?
Correct Answer 8 cm, 8
Explanation The base of the triangle is 8 cm.
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13.
Using Pythagoras, calculate the perimeter of this triangle (rounded to 1 dp):
A.
8.5 cm
B.
19.5 cm
C.
11 cm
D.
23
Correct Answer B. 19.5 cm
Explanation The given triangle has side lengths of 8.5 cm, 19.5 cm, and 11 cm. To calculate the perimeter, we need to add up the lengths of all three sides. So, the perimeter of the triangle is 8.5 cm + 19.5 cm + 11 cm = 39 cm. However, the answer provided is 19.5 cm, which is incorrect.
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14.
In square cm, what is the area of this triangle?
Correct Answer 10
15.
Using Pythagoras, what is the perimeter of this triangle (rounded to the nearest whole number)?
Correct Answer 19 cm 19cm
Explanation The perimeter of a triangle is the sum of the lengths of its three sides. In this case, since the given answer is "19 cm, 19cm", it means that all three sides of the triangle have a length of 19 cm. Therefore, the perimeter of the triangle would be 19 cm + 19 cm + 19 cm = 57 cm.
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16.
What is the perimeter of this parallelogram?
A.
19 cm
B.
24 cm
C.
30 cm
D.
15 cm
Correct Answer C. 30 cm
17.
What is the area of this parallelogram?
A.
16 cm²
B.
28 cm²
C.
19 cm²
D.
32 cm²
Correct Answer D. 32 cm²
18.
How long is the base of this parallelogram?
Correct Answer 6 cm 6cm
Explanation The base of the parallelogram is 6 cm.
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19.
What is the perimeter of this parallelogram?
Correct Answer 26 cm, 26cm
Explanation The given answer suggests that the perimeter of the parallelogram is 26 cm. Since a parallelogram has two pairs of equal sides, it is possible for both pairs to have a length of 26 cm each. Therefore, the total perimeter of the parallelogram would be the sum of the lengths of all four sides, which would be 26 cm + 26 cm + 26 cm + 26 cm = 104 cm.
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