
16.1 Independent Practice
Quiz
•
Mathematics
•
6th Grade
•
Practice Problem
•
Hard
Individual plann
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Rearrange the parts of the parallelogram to form a rectangle. Find the area of the parallelogram and the area of the rectangle. What is the relationship between the areas?
Area of parallelogram = base × height = 14 cm × 6 cm = 84 cm². The area of the rectangle formed is also 84 cm². The areas are equal.
Area of parallelogram = base × height = 14 cm × 6 cm = 84 cm², but the rearranged rectangle mistakenly uses half the height making its area 42 cm², so they are not equal.
Area of parallelogram = 14 cm × 6 cm = 84 cm², whereas the rectangle is assumed to have dimensions 14 cm by 8 cm giving an area of 112 cm², hence they differ.
Area of parallelogram is computed by adding the base and height (14 cm + 6 cm = 20 cm²) while the rectangle's area is wrongly calculated as 20 cm²; these methods are incorrect.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area of a parallelogram that has a base of 12 3/4 in. and a height of 2 1/2 in.?
Area = base × height = 12.75 × 2.5 = 31.875 in².
Area = base + height = 12.75 + 2.5 = 15.25 in².
Area = 2(base + height) = 2(12.75 + 2.5) = 30.5 in².
Area = (base × height) / 2 = (12.75 × 2.5) / 2 = 15.9375 in².
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Draw a copy of the trapezoid to form a parallelogram. Find the area of the trapezoid and the area of the parallelogram. What is the relationship between the areas?
Area of trapezoid = 1/2 × (base1 + base2) × height = 1/2 × (42 + 36) × 24 = 1/2 × 78 × 24 = 39 × 24 = 936 in². The area of the parallelogram formed by doubling the trapezoid is 1872 in². The area of the trapezoid is half the area of the parallelogram.
Area of the trapezoid is equal to the area of the parallelogram.
Area of the trapezoid is twice the area of the parallelogram.
Area of the trapezoid cannot be determined without more information.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The bases of a trapezoid are 11 meters and 14 meters. Its height is 10 meters. What is the area of the trapezoid?
125 m².
150 m².
130 m².
135 m².
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The seat of a bench is in the shape of a trapezoid with bases of 6 feet and 5 feet and a height of 1.5 feet. What is the area of the seat?
8.25 ft².
7.5 ft².
9.5 ft².
8.75 ft².
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A kite in the shape of a rhombus has diagonals that are 25 inches long and 15 inches long. What is the area of the kite?
187.5 in².
150 in².
300 in².
225 in².
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A window in the shape of a parallelogram has a base of 36 inches and a height of 45 inches. What is the area of the window?
Area = base × height = 36 × 45 = 1620 in².
Area = base + height = 36 + 45 = 81 in².
Area = (base × height)/2 = (36 × 45)/2 = 810 in².
Area = base² + height² = 36² + 45² = 1296 + 2025 = 3321 in².
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