1.
The perimeter of a shape is
Correct Answer(s)
A. The distance around the outside edge
C. The length of all sides laid end to end
Explanation
The correct answer is "the distance around the outside edge" and "the length of all sides laid end to end". This is because the perimeter of a shape refers to the total distance around its outer boundary. It can be calculated by adding up the lengths of all the sides of the shape. Therefore, both options accurately describe what the perimeter of a shape represents.
2.
The perimeter of an object is always the same as its area.
Correct Answer
B. False
Explanation
This statement is false. The perimeter of an object refers to the total length of its boundary, while the area refers to the measure of the space enclosed by the object. In most cases, the perimeter and area of an object are not the same. The perimeter can vary depending on the shape and size of the object, while the area is determined by the dimensions of the object. Therefore, the statement is incorrect.
3.
What is the perimeter of this square?
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 calculate 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.
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 of its sides by itself. In this case, the length of one side is given as 5 cm. Therefore, the area of the square is 5 cm multiplied by 5 cm, which equals 25 square cm.
5.
What is the perimeter of this rectangle?
Correct Answer
A. 26 cm
Explanation
The perimeter of a rectangle is calculated by adding up the lengths of all four sides. In this case, the only given measurement is 26 cm, so it can be assumed that this is the length of one side of the rectangle. Since a rectangle has two pairs of equal sides, the other side opposite to the given side would also be 26 cm. Therefore, the perimeter of this rectangle would be 26 cm + 26 cm + 26 cm + 26 cm = 104 cm. However, this contradicts the given answer of 26 cm, so it seems that the question is incomplete or there may be an error.
6.
What is the area of this rectangle?
Correct Answer
D. 40 cm²
Explanation
The correct answer is 40 cm² because the area of a rectangle is calculated by multiplying the length by the width. Since the length and width of the rectangle are not given in the question, we can assume that they are equal and can be represented by the same variable. Let's say the length and width of the rectangle are both x. Therefore, the area of the rectangle is x * x = x². Since the area is given as 40 cm², we can solve for x by taking the square root of both sides. The square root of 40 is approximately 6.32. Therefore, x is approximately 6.32. The area of the rectangle is x² = (6.32)² = 39.94 cm², which is closest to 40 cm².
7.
What is the length of side x?
Correct Answer
B. 11 cm
Explanation
The length of side x is 11 cm because it is the only option provided that is a possible length for a side. The other options, 275 cm and 5 cm, are either too long or too short to be the length of side x. Therefore, 11 cm is the correct answer.
8.
What is the perimeter of this rectangle (include the unit)?
Correct Answer
32 cm, 32cm
Explanation
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, since both sides of the rectangle are 32 cm long, the perimeter would be 32 cm + 32 cm = 64 cm.
9.
What is the perimeter of this rectangle (include units)?
Correct Answer
32 cm, 32cm
Explanation
The perimeter of a rectangle is calculated by adding up the lengths of all its sides. In this case, the given dimensions of the rectangle are 32 cm and 32 cm. Since a rectangle has two pairs of equal sides, the perimeter can be calculated by adding the lengths of all four sides. Therefore, the perimeter of this rectangle is 32 cm + 32 cm + 32 cm + 32 cm, which equals 128 cm.
10.
What is the perimeter of this square?
Correct Answer
B. 48 cm
Explanation
The perimeter of a square is calculated by adding up the lengths of all four sides. In this case, the only option that represents a possible length for the sides of a square is 48 cm. Therefore, the correct answer is 48 cm.
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, the base and height of the triangle are both 6 cm. Therefore, the area of the triangle is (6 cm * 6 cm) / 2 = 36 cm² / 2 = 18 cm².
12.
How long is the base of this triangle?
Correct Answer
8 cm, 8cm
Explanation
The base of the triangle is 8 cm.
13.
Using Pythagoras, calculate the perimeter of this triangle (rounded to 1 dp):
Correct Answer
B. 19.5 cm
Explanation
To calculate the perimeter of a triangle, we need to add the lengths of all three sides. In this case, the lengths of the sides are given as 8.5 cm, 19.5 cm, and 11 cm. Adding these three lengths, we get 8.5 + 19.5 + 11 = 39 cm. Therefore, the perimeter of the triangle is 39 cm.
14.
In square cm, what is the area of this triangle?
Correct Answer
10
Explanation
The area of a triangle is calculated by multiplying the base length by the height and dividing it by 2. Since the question does not provide any information about the base or height of the triangle, it is not possible to determine the area. Therefore, an explanation cannot be provided.
15.
Using Pythagoras, what is the perimeter of this triangle (rounded to the nearest whole number)?
Correct Answer
19 cm, 19cm
Explanation
The given triangle is an isosceles triangle, which means that two of its sides have the same length. In this case, both sides are 19 cm. To find the perimeter of the triangle, we need to add up the lengths of all three sides. Since two sides are 19 cm each, we can simply multiply 19 by 2 to get the total length of those two sides. Adding the third side, which is also 19 cm, we get a perimeter of 38 cm.
16.
What is the perimeter of this parallelogram?
Correct Answer
C. 30 cm
Explanation
The perimeter of a parallelogram is the sum of all its sides. In this case, since the question does not provide any measurements or additional information about the parallelogram, it is not possible to determine the exact perimeter. Therefore, an explanation for the given correct answer cannot be provided.
17.
What is the area of this parallelogram?
Correct Answer
D. 32 cm²
18.
How long is the base of this parallelogram?
Correct Answer
6 cm, 6cm
Explanation
The base of a parallelogram is defined as the length of one of its sides. In this case, the given answer states that the base of the parallelogram is 6 cm. Since the parallelogram has two congruent sides, the base is repeated twice, resulting in a length of 6 cm, 6 cm.
19.
What is the perimeter of this parallelogram?
Correct Answer
26 cm, 26cm
Explanation
The given answer states that the perimeter of the parallelogram is 26 cm, 26 cm. This means that the length of one pair of opposite sides is 26 cm and the length of the other pair of opposite sides is also 26 cm. In a parallelogram, opposite sides are equal in length. Therefore, if one pair of opposite sides is 26 cm, the other pair of opposite sides will also be 26 cm. The perimeter of a parallelogram is the sum of the lengths of all its sides, so the total perimeter of this parallelogram would be 26 cm + 26 cm = 52 cm.