Area Of Plane Figures Quiz

1. What is the area of a parallelogram that has a height of 7m and a base of 4 m?

14 square meters

11 square meters

28 square meters

15 square meters

The area of a parallelogram is calculated using the formula:

$Area = Base \times Height$

For the given parallelogram with a base of 4m and a height of 7m:

$Area = 4 m \times 7 m = 28 square meters$

Explanation

The area of a parallelogram is calculated using the formula:

$Area = Base \times Height$

For the given parallelogram with a base of 4m and a height of 7m:

$Area = 4 m \times 7 m = 28 square meters$

2. What is the area of a parallelogram that has a height of 21 m and a base of 9 m?

159 sq m

30 sq m

189 sq.m

100 sq. m

Explanation

3. Calculate the area of a trapezoid with bases 8 cm and 12 cm and a height of 6 cm.

60 sq cm

72 sq cm

90 sq cm

120 sq cm

Explanation

4. When you measure the height of a figure the line must be straight (not slanted), it must be perpendicular (at a 90 degree angle) to the base.

True

False

When measuring the height of a figure, it is conventionally done with a straight, perpendicular line. The height is typically measured at a right angle (90-degree angle) from the base of the figure. This ensures a standardized and consistent method of measuring height in geometry, making it easier to compare and analyze figures.

Explanation

When measuring the height of a figure, it is conventionally done with a straight, perpendicular line. The height is typically measured at a right angle (90-degree angle) from the base of the figure. This ensures a standardized and consistent method of measuring height in geometry, making it easier to compare and analyze figures.

5. Find the area of a circle with a radius of 5 cm. (Use π ≈ 3.14)

15.7 sq cm

31.4 sq cm

78.5 sq cm

157 sq cm

Explanation

6. How is the area of a trapezoid calculated?

Base × Height

½ × Base₁ × Height

(Base₁ + Base₂) × Height

Length × Width

The formula for the area of a trapezoid is (Base₁ + Base₂) × Height, where Base₁ and Base₂ are the lengths of the parallel bases, and Height is the perpendicular distance between these bases.

Explanation

The formula for the area of a trapezoid is (Base₁ + Base₂) × Height, where Base₁ and Base₂ are the lengths of the parallel bases, and Height is the perpendicular distance between these bases.

7.

What do you call the measurement around the outside of a closed figure?

Perimeter

Area

Volume

Circumference

The measurement around the outside of a figure is called the perimeter. It is the sum of the lengths of all the sides of the shape. Perimeter is commonly used in various geometric contexts, such as measuring the boundary of polygons, rectangles, squares, and other closed figures.

Explanation

The measurement around the outside of a figure is called the perimeter. It is the sum of the lengths of all the sides of the shape. Perimeter is commonly used in various geometric contexts, such as measuring the boundary of polygons, rectangles, squares, and other closed figures.

8. When you measure the inside of a two dimensional figure such as a square, rectangle or triangle you find the:

Perimeter

Volume

Area

Surface area

When measuring the inside of a two-dimensional figure such as a square, rectangle, or triangle, you are finding the area. The area refers to the amount of space enclosed by the figure's boundaries. It is typically measured in square units, such as square inches or square meters. The other options mentioned, such as perimeter and volume, are not applicable for two-dimensional figures. The given answer, "area," correctly identifies the quantity being measured.

Explanation

When measuring the inside of a two-dimensional figure such as a square, rectangle, or triangle, you are finding the area. The area refers to the amount of space enclosed by the figure's boundaries. It is typically measured in square units, such as square inches or square meters. The other options mentioned, such as perimeter and volume, are not applicable for two-dimensional figures. The given answer, "area," correctly identifies the quantity being measured.

9. What is the proper way to label the area of a rectangle that has a length of 5 inches and a width of 4 inches?

20 inches

20 square inches

9 square inches

9 inches

The proper way to label the area of a rectangle with a length of 5 inches and a width of 4 inches is 20 square inches. The area of a rectangle is calculated by multiplying its length and width, which in this case would be 5 inches multiplied by 4 inches, resulting in 20 square inches.

Explanation

The proper way to label the area of a rectangle with a length of 5 inches and a width of 4 inches is 20 square inches. The area of a rectangle is calculated by multiplying its length and width, which in this case would be 5 inches multiplied by 4 inches, resulting in 20 square inches.

10. What is the area of a triangle that has a height of 25 cm and a base of 20 cm?

450 sq cm

500 sq cm

150 sq cm

250 sq cm

Explanation

11. What is the area of a triangle that has a height of 9cm and a base of 4 cm?

18 sq cm

36 sq cm

13 sq cm

25 sq cm

Explanation

12. What is the area of a trapezoid that has a base of 6 inches, a base of 10 inches and a height of 5 inches?

40 sq inches

21 sq inches

150 sq inches

25 inches

Explanation

13. The base of a figure:

Is always just the bottom only

May be the bottom as well as the top

Is always only the top

Is only on the side

The base of a figure may be the bottom as well as the top because in some geometric shapes, such as a pyramid or a cone, the base can be both the bottom and the top. These shapes have a single flat surface at the bottom that serves as the base, and another flat surface at the top. Therefore, the base of a figure can be located at both the bottom and the top depending on the shape.

Explanation

The base of a figure may be the bottom as well as the top because in some geometric shapes, such as a pyramid or a cone, the base can be both the bottom and the top. These shapes have a single flat surface at the bottom that serves as the base, and another flat surface at the top. Therefore, the base of a figure can be located at both the bottom and the top depending on the shape.

14. What is the area of a trapezoid that has a base of 2 inches, a base of 4 inches and a height of 3 inches?

6 sq. inches

24 sq. inches

9 sq inches

13 sq inches

Explanation

15. If a square measures 3 cm on each side, what is its area?

3 sq. cm

12 sq. cm

9 sq. cm

23 sq. cm

The area of a square is calculated by squaring the length of one of its sides. In this case, if the square measures 3 cm on each side:

Area=3 cm×3 cm

Area=9 sq. cm

(Don't forget the all area answers are written in square units or with an exponent of 2.)

Explanation

The area of a square is calculated by squaring the length of one of its sides. In this case, if the square measures 3 cm on each side:

Area=3 cm×3 cm

Area=9 sq. cm

(Don't forget the all area answers are written in square units or with an exponent of 2.)