Q. If a quadrilateral has angles measuring 90 degrees, 85 degrees, 95 degrees, and x degrees, what is the value of x?
A.
90 degrees
B.
80 degrees
C.
85 degrees
D.
75 degrees
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Solution
The sum of the interior angles of a quadrilateral is 360 degrees. Therefore, x = 360 - (90 + 85 + 95) = 360 - 270 = 90 degrees.
Correct Answer:
D
— 75 degrees
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Q. If a square has a side length of 5 cm, what is its area?
A.
20 cm²
B.
25 cm²
C.
30 cm²
D.
15 cm²
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Solution
The area of a square is given by the formula: Area = side². Here, Area = 5² = 25 cm².
Correct Answer:
B
— 25 cm²
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Q. If the diagonals of a rhombus are 12 cm and 16 cm, what is the area of the rhombus?
A.
96 cm²
B.
48 cm²
C.
192 cm²
D.
64 cm²
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Solution
The area of a rhombus can be calculated using the formula: Area = (d1 * d2) / 2. Here, d1 = 12 cm and d2 = 16 cm, so Area = (12 * 16) / 2 = 96 cm².
Correct Answer:
A
— 96 cm²
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Q. In a rectangle, if the length is 8 cm and the width is 3 cm, what is the perimeter?
A.
22 cm
B.
24 cm
C.
20 cm
D.
26 cm
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Solution
The perimeter of a rectangle is given by the formula: P = 2 * (length + width). Here, P = 2 * (8 + 3) = 22 cm.
Correct Answer:
A
— 22 cm
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Q. In a trapezoid, if the lengths of the bases are 10 cm and 6 cm, and the height is 4 cm, what is the area?
A.
32 cm²
B.
40 cm²
C.
24 cm²
D.
28 cm²
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Solution
The area of a trapezoid is given by the formula: Area = (1/2) * (base1 + base2) * height. Here, Area = (1/2) * (10 + 6) * 4 = 32 cm².
Correct Answer:
A
— 32 cm²
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Q. In a trapezoid, if the lengths of the bases are 8 cm and 12 cm, and the height is 5 cm, what is the area?
A.
50 cm²
B.
40 cm²
C.
60 cm²
D.
30 cm²
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Solution
The area of a trapezoid is given by the formula (1/2) * (base1 + base2) * height. Thus, the area is (1/2) * (8 cm + 12 cm) * 5 cm = 50 cm².
Correct Answer:
A
— 50 cm²
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Q. In a trapezoid, if the lengths of the parallel sides are 10 cm and 6 cm, and the height is 4 cm, what is the area of the trapezoid?
A.
32 cm²
B.
40 cm²
C.
24 cm²
D.
28 cm²
Show solution
Solution
The area of a trapezoid is given by the formula: Area = (1/2) * (b1 + b2) * h. Here, b1 = 10 cm, b2 = 6 cm, and h = 4 cm. Area = (1/2) * (10 + 6) * 4 = 32 cm².
Correct Answer:
A
— 32 cm²
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