Area and Perimeter: Master the Basics with Interactive Quizzes

Question 1

What is the area of a triangle whose base measures 10 inches and whose height is 5 inches?

Accepted Answer

25 square inches

Answer

10 inches

Answer

50 inches

Answer

100 square inches

Question 2

Find the perimeter of a square with a side length of 6 centimeters.

Accepted Answer

24 centimeters

Answer

6 centimeters

Answer

12 centimeters

Answer

36 centimeters

Question 3

What is the area of a circle with a radius of 5 centimeters?

Accepted Answer

25π square centimeters

Answer

10π square centimeters

Answer

50π square centimeters

Answer

100π square centimeters

Question 4

Find the perimeter of a rectangular garden with a length of 12 feet and a width of 8 feet.

Accepted Answer

40 feet

Answer

20 feet

Answer

64 feet

Answer

128 feet

Question 5

Find the perimeter of a rectangular garden that is 12 feet long and 8 feet wide.

Accepted Answer

40 feet

Answer

20 feet

Answer

80 feet

Question 6

A circle has a radius of 4 cm. Determine the circumference of the circle.

Accepted Answer

4π cm

Answer

12.57 cm

Answer

8π cm

Answer

16π cm

Question 7

What is the area of a triangle with a base of 10 cm and a height of 8 cm?

Accepted Answer

40 cm²

Answer

20 cm²

Answer

60 cm²

Answer

80 cm²

Question 8

Which of the following is the formula for the perimeter of a rectangle?

Accepted Answer

P = 2(l + w)

Answer

P = l² + w²

Answer

P = 2lw

Answer

P = lw

Question 9

What is the perimeter of a square with a side length of 6 inches?

Accepted Answer

24 inches

Answer

12 inches

Answer

18 inches

Answer

36 inches

Question 10

Which of the following quadrilaterals has equal sides and equal angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezoid

Answer

Parallelogram

Question 11

Which of the following formulas accurately calculates the perimeter of a rectangle?

Accepted Answer

P = 2(length + width)

Answer

P = length x width

Answer

P = πr

Answer

P = 2πr

Question 12

A square has a side measuring 5 inches in length. Determine its perimeter.

Accepted Answer

20 inches

Answer

10 inches

Answer

25 inches

Answer

50 inches

Question 13

Identify the formula for calculating the area of a triangle:

Accepted Answer

A = 1/2(base x height)

Answer

A = length x width

Answer

A = πr²

Answer

A = 2πr

Question 14

Calculate the perimeter of a rectangle with a length of 5 cm and a width of 3 cm.

Accepted Answer

16 cm

Answer

10 cm

Answer

20 cm

Question 15

What is the formula for calculating the area of a trapezoid?

Accepted Answer

A = (b1 + b2) / 2 * h

Answer

A = (b1 - b2) / 2 * h

Answer

A = b * h

Answer

A = (b1 + b2) * h

Question 16

A rectangular garden measures 10 feet in length and 15 feet in width. Calculate the area of the garden.

Accepted Answer

150 square feet

Answer

250 square feet

Answer

100 square feet

Answer

200 square feet

Question 17

A circle has a radius of 5 centimeters. Calculate the perimeter of this circle.

Accepted Answer

10π centimeters

Answer

10 centimeters

Answer

20π centimeters

Answer

5π centimeters

Question 18

A circle has a radius of 6 centimeters. Calculate the perimeter of this circle.

Accepted Answer

12π centimeters

Answer

24π centimeters

Answer

12 centimeters

Answer

6π centimeters

Question 19

Calculate the perimeter of a rectangle with a length of 5 cm and a width of 3 cm.

Accepted Answer

16 cm

Answer

10 cm

Answer

20 cm

Question 20

Find the area of a circle with a radius of 4 cm.

Accepted Answer

50.24 cm² (rounded to two decimal places)

Answer

25.12 cm²

Answer

78.54 cm²

Question 21

A regular hexagon has a side length of 3 centimeters. What is its perimeter?

Accepted Answer

18 cm

Answer

24 cm

Answer

12 cm

Answer

9 cm

Question 22

What is the area of a circle with a radius of 5 centimeters?

Accepted Answer

25π cm²

Answer

10π cm²

Answer

100π cm²

Answer

50π cm²

Question 23

A rectangular garden measures 12 meters in length and 8 meters in width. If a fence is to be built around the garden, what is the total length of fencing needed?

Accepted Answer

40 m

Answer

20 m

Answer

30 m

Answer

50 m

Question 24

A circular pond has a diameter of 10 meters. What is the circumference of the pond?

Accepted Answer

10π m

Answer

15π m

Answer

20π m

Answer

5π m

Question 25

A square has an area of 64 square centimeters. What is the length of one of its sides?

Accepted Answer

8 cm

Answer

4 cm

Answer

16 cm

Question 26

A rectangular garden is 12 meters long and 8 meters wide. What is the perimeter of the garden?

Accepted Answer

40 meters

Answer

96 square meters

Answer

32 meters

Answer

20 meters

Question 27

A square has an area of 64 square centimeters. What is the length of one side of the square?

Accepted Answer

8 centimeters

Answer

16 centimeters

Answer

32 centimeters

Answer

4 centimeters

Question 28

A triangle has a base of 10 centimeters and a height of 6 centimeters. What is the area of the triangle?

Accepted Answer

30 square centimeters

Answer

10 square centimeters

Answer

60 square centimeters

Answer

16 square centimeters

Question 29

A rectangular room is 10 feet long and 12 feet wide. You want to install baseboards around the perimeter of the room. How many feet of baseboard do you need?

Accepted Answer

44 feet

Answer

120 feet

Answer

32 feet

Answer

22 feet

Question 30

A square garden has a perimeter of 24 meters. What is the area of the garden?

Accepted Answer

36 square meters

Answer

48 square meters

Answer

96 square meters

Answer

144 square meters

Question 31

A circular pizza has a radius of 6 inches. What is the approximate circumference of the pizza?

Accepted Answer

37.7 inches

Answer

18.8 inches

Answer

113 inches

Answer

75.4 inches

Question 32

A rectangular park is 50 meters long and 30 meters wide. You want to build a fence around the park. How much fencing do you need?

Accepted Answer

160 meters

Answer

250 meters

Answer

80 meters

Answer

1500 square meters

Question 33

A square tile has a side length of 10 centimeters. What is the area of the tile?

Accepted Answer

100 square centimeters

Answer

40 square centimeters

Answer

20 square centimeters

Answer

10 square centimeters

Question 34

What is the formula used to calculate the area of a triangle?

Accepted Answer

1/2 * base * height

Answer

base * height

Answer

base + height

Answer

4 * length

Question 35

A square has a side length of 5 centimeters. What is its perimeter?

Accepted Answer

20 cm

Answer

10 cm

Answer

25 cm

Answer

15 cm

Question 36

Which of these is NOT a property of a rectangle?

Accepted Answer

All sides are equal.

Answer

Diagonals bisect each other.

Answer

Adjacent sides are perpendicular.

Answer

Opposite sides are parallel.

Question 37

A circle has a radius of 3 centimeters. What is its area (rounded to two decimal places)?

Accepted Answer

28.27 cm²

Answer

9.42 cm²

Answer

18.84 cm²

Answer

56.52 cm²

Question 38

What is the formula to calculate the area of a parallelogram?

Accepted Answer

base * height

Answer

π * radius²

Answer

1/2 * base * height

Answer

length + width

Question 39

A regular hexagon has a side length of 6 centimeters. What is its perimeter?

Accepted Answer

36 cm

Answer

60 cm

Answer

24 cm

Answer

48 cm

Question 40

A farmer has 100 meters of fencing to enclose a rectangular plot of land. What is the maximum area (in square meters) the farmer can enclose?

Accepted Answer

625

Answer

750

Answer

500

Answer

1000

Question 41

Which formula can be used to calculate the area of a trapezoid?

Accepted Answer

(base₁ + base₂) * height / 2

Answer

length + width

Answer

base * height

Answer

π * radius²

Question 42

A rectangular garden measures 12 meters by 8 meters. What is the perimeter of the garden?

Accepted Answer

40 meters

Answer

24 meters

Answer

20 meters

Answer

96 square meters

Question 43

A square tile has a side length of 20 centimeters. What is the area of the tile?

Accepted Answer

400 square centimeters

Answer

100 square centimeters

Answer

80 square centimeters

Answer

40 centimeters

Question 44

A circular rug has a diameter of 3 meters. What is the approximate area of the rug? (Use π ≈ 3.14)

Accepted Answer

7.07 square meters

Answer

3.14 square meters

Answer

14.13 square meters

Answer

9.42 square meters

Question 45

A triangle has a base of 15 inches and a height of 8 inches. What is the area of the triangle?

Accepted Answer

60 square inches

Answer

46 square inches

Answer

23 square inches

Answer

120 square inches

Question 46

A rectangular park measures 200 meters by 150 meters. A jogging path runs along the perimeter of the park. How far will you jog if you complete one lap around the path?

Accepted Answer

700 meters

Answer

1400 meters

Answer

30000 square meters

Answer

350 meters

Question 47

A square room needs new carpeting. The room measures 5 meters on each side.  If carpeting costs $12 per square meter, what will be the total cost of the carpeting?

Accepted Answer

$300

Answer

$150

Answer

$60

Answer

$25

Question 48

If you increase the side length of a square by a factor of 3, by what factor does the area of the square increase?

Accepted Answer

9

Answer

12

Answer

6

Answer

3

Question 49

A trapezoid has bases of length 10 cm and 14 cm, and a height of 5 cm. What is its area?

Accepted Answer

60 square cm

Answer

70 square cm

Answer

120 square cm

Answer

35 square cm

Question 50

Two rectangles have the same area. The first rectangle has a length of 12 units and a width of 4 units. The second rectangle has a length of 8 units. What is the width of the second rectangle?

Accepted Answer

6 units

Answer

3 units

Answer

16 units

Answer

4 units

Question 51

A farmer wants to fence a circular field with a radius of 20 meters. Fencing costs $15 per meter. What will be the total cost of fencing the field? (Use π ≈ 3.14)

Accepted Answer

$1884

Answer

$3768

Answer

$942

Answer

$628