Triangles
Trapezoids
Other Polygons
Compound Shapes
Trivia
100
What is the formula for the area of a triangle when given the base (b) and height (h)?
Area = 0.5 * base * height
100
What is the formula for the area of a trapezoid?
Area = 0.5 * (sum of bases) * height
100
What is the area of this shape? 
20 cm2
100
A compound shape is made up of two rectangles and a triangle. If the dimensions of the rectangles are 4 units by 6 units and 3 units by 8 units, and the triangle has a base of 5 units and a height of 4 units, what is the total area of the compound shape?
58 square units
100
Which metal is found the most at the center of the Earth?
Iron
200
A triangle has a base of 6 cm and a height of 9 cm. Calculate its area.
27 square cm
200
A trapezoid has bases of 4 cm and 9 cm, and a height of 7 cm. Determine its area.
45.5 square cm
200
Calculate the area of a parallelogram with a base of 12 units and a height of 8 units.
96 square units
200
Why is it useful to be able to decompose a compound shape into simpler shapes to find its area?
Decomposing a compound shape into simpler shapes, such as rectangles and triangles, is useful because it allows you to calculate the area of the overall shape by adding the areas of the individual components. This makes it easier to find the total area, especially for more complex shapes.
200
Who discovered the laws of motion?
Sir Isaac Newton
300
How can you decompose a parallelogram into two congruent triangles to find its area?
By drawing a diagonal from one vertex to the opposite side.
300
Describe how you would compose a trapezoid into a rectangle and two right triangles to find its area.
By drawing a line parallel to the bases to create a rectangle and two right triangles.
300
What is the total area of this compound shape?
34 ft.2
300
Calculate the total area of a compound polygon composed of a triangle with base 3 units and height 6 units, and a rectangle with a length of 8 units and width of 4 units.
Area = (0.5 * 3 * 6) + (8 * 4) = 9 + 32 = 41 square units
300
What is Lady Gaga’s real name?
Stefani Germanotta.
400
For a right triangle with legs of lengths 5 cm and 12 cm, find the area.
30 square cm
400
If the area of a trapezoid is 75 square units, with bases of lengths 6 units and 9 units, what is its height?
10 units
400
What is the area of this compound shape?
81 cm2
400
A compound polygon is made up of a rectangle with dimensions 10m by 6m and a trapezoid with bases 8m and 5m and a height of 4m. Find the total area of the compound polygon.
Area = (10 * 6) + (0.5 * (8 + 5) * 4) = 60 + 26 = 86 square meters
400
Who is the longest-serving judge on American Idol?
Randy Jackson
500
A triangle has an area of 50 square units and a base of 5 units. What is its height?
Height=10 units
500
Discuss the similarities and differences between finding the area of a trapezoid and a triangle.
Both involve multiplying base by height, but trapezoid uses the sum of bases.
500
What is the area of the shaded region?
48 m2
500
A compound shape consists of a triangle with a base of 12 units and a height of 8 units, and a parallelogram with a base of 10 units and a height of 6 units. Find the total area of the compound polygon.
108 square units
500
What is the name of the amphitheater in ancient Rome where gladiators fought?
The Colosseum