Area and Perimeter of 2D Shapes: Interactive Quizzes and Practice

Question 1

Find the radius of a circle with a circumference of 18.84 cm.

Accepted Answer

6 cm

Answer

3 cm

Answer

9 cm

Answer

12 cm

Question 2

Calculate the area of a trapezoid with bases of length 8 cm and 12 cm, and a height of 5 cm.

Accepted Answer

60 cm²

Answer

20 cm²

Answer

40 cm²

Answer

100 cm²

Question 3

Find the perimeter of a square with a side length of 4 cm.

Accepted Answer

12 cm

Answer

8 cm

Answer

16 cm

Answer

20 cm

Question 4

What is the area of a rectangle with a length of 5 centimetres and a width of 3 centimetres?

Accepted Answer

15 cm²

Answer

8 cm²

Answer

25 cm²

Answer

30 cm²

Question 5

Which of these is NOT a formula for finding the perimeter of a shape?

Accepted Answer

P = (1/2) × b × h

Answer

P = 2(l + w)

Answer

P = 4s

Answer

P = 2πr

Question 6

A rectangular garden measures 12 meters in length and 8 meters in width. How many meters of fencing are needed to enclose the garden?

Accepted Answer

40 m

Answer

10 m

Answer

20 m

Answer

80 m

Question 7

What is the perimeter of a circle with a radius of 5 cm?

Accepted Answer

10π cm

Answer

25π cm

Answer

50π cm

Answer

100π cm

Question 8

Which of the following shapes has the smallest area?

Accepted Answer

Circle with radius 2 cm

Answer

Rectangle with length 3 cm and width 2 cm

Answer

Square with side length 3 cm

Answer

Triangle with base 4 cm and height 3 cm

Question 9

A square has a perimeter of 24 cm. What is the length of one side of the square?

Accepted Answer

8 cm

Answer

4 cm

Answer

6 cm

Answer

12 cm

Question 10

What is the formula for calculating the perimeter of a triangle?

Accepted Answer

P = a + b + c

Answer

P = 2(l + w)

Answer

P = πr

Answer

P = A/l

Question 11

Find the area of a circle with a radius of 3 cm.

Accepted Answer

9π cm²

Answer

3π cm²

Answer

27π cm²

Answer

6π cm²

Question 12

Find the area of a triangle with a base of 4 cm and a height of 3 cm.

Accepted Answer

12 cm²

Answer

6 cm²

Answer

24 cm²

Answer

48 cm²

Question 13

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

Accepted Answer

A = a × b

Answer

A = 2(l + w)

Answer

A = πr²

Answer

A = P/4

Question 14

Which of the following is NOT a property of a parallelogram?

Accepted Answer

All sides are equal

Answer

Opposite sides are parallel

Answer

Opposite angles are equal

Answer

Diagonals bisect each other

Question 15

The perimeter of a square is the total length of its four equal sides. What is the perimeter of a square with a side length of 4 cm?

Accepted Answer

16 cm

Answer

12 cm

Answer

8 cm

Answer

20 cm

Question 16

A farmer has a rectangular field that is 100 meters long and 50 meters wide. What is the area of the field in square meters?

Accepted Answer

5000 m²

Answer

1000 m²

Answer

1500 m²

Answer

2000 m²

Question 17

The area of a triangle is calculated as half of its base multiplied by its height. What is the area of a triangle with a base of 8 cm and a height of 6 cm?

Accepted Answer

24 cm²

Answer

12 cm²

Answer

36 cm²

Answer

48 cm²

Question 18

A rectangular garden measures 6 meters in length and 4 meters in width. If you want to put a fence around the garden, what is the total length of fencing needed?

Accepted Answer

24 m

Answer

10 m

Answer

20 m

Answer

30 m

Question 19

Which of the following is not a property of a rectangle?

Accepted Answer

All angles are right angles

Answer

Opposite sides are parallel

Answer

Opposite angles are equal

Answer

Diagonals are equal

Question 20

The perimeter of a square is equal to its side length multiplied by 4. What is the perimeter of a square with an area of 64 cm?

Accepted Answer

32 cm

Answer

16 cm

Answer

64 cm

Answer

128 cm

Question 21

How do we find the area of a rectangle?

Accepted Answer

Multiply the length and width.

Answer

Add the base and height.

Answer

Divide the base by the height.

Answer

Subtract the height from the length.

Question 22

What is the perimeter of a square with sides measuring 5 centimeters?

Accepted Answer

10 centimeters

Answer

5 centimeters

Answer

15 centimeters

Answer

20 centimeters

Question 23

Which shape has a round edge?

Accepted Answer

Circle

Answer

Rectangle

Answer

Square

Answer

Triangle

Question 24

To find the area of a triangle, what formula do we use?

Accepted Answer

Half of base times height

Answer

Base plus height

Answer

Length times width

Answer

Pi times radius squared

Question 25

Calculate the perimeter of a rectangle with a length of 6 centimeters and a width of 4 centimeters.

Accepted Answer

24 centimeters

Answer

10 centimeters

Answer

20 centimeters

Answer

48 centimeters

Question 26

Which shape has four sides that are all the same length?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 27

What is the formula for finding the area of a circle?

Accepted Answer

Pi times radius squared

Answer

Base plus height

Answer

Length times width

Answer

Half of base times height

Question 28

Which shape has three sides and three angles?

Accepted Answer

Triangle

Answer

Rectangle

Answer

Square

Answer

Circle

Question 29

To calculate the area of a rectangle, we use the formula:

Accepted Answer

Length multiplied by Width

Answer

Length added to Width

Answer

Length minus Width

Answer

Width divided by Length

Question 30

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

Accepted Answer

20 centimeters

Answer

5 centimeters

Answer

10 centimeters

Answer

25 centimeters

Question 31

Which shape has three equal sides and a triangular shape?

Accepted Answer

Equilateral triangle

Answer

Rectangle

Answer

Trapezoid

Answer

Pentagon

Question 32

A farmer has a rectangular field with a length of 20 meters and a width of 15 meters. What is the area of the field?

Accepted Answer

600 square meters

Answer

35 square meters

Answer

300 square meters

Answer

1200 square meters

Question 33

Which is NOT a property of a parallelogram?

Accepted Answer

All angles are right angles.

Answer

Opposite sides are parallel.

Answer

Opposite angles are equal.

Answer

Diagonals bisect each other.

Question 34

A trapezoid has a height of 6 cm. The bases are 8 cm and 12 cm. What is the area of the trapezoid?

Accepted Answer

120 square centimeters

Answer

24 square centimeters

Answer

60 square centimeters

Answer

240 square centimeters

Question 35

Which shape has a measurement called circumference?

Accepted Answer

Circle

Answer

Square

Answer

Rectangle

Answer

Triangle

Question 36

What is the area of a square with side length 4 cm?

Accepted Answer

16 cm²

Answer

8 cm²

Answer

32 cm²

Answer

64 cm²

Question 37

A rectangular garden has a length of 10 m and a width of 5 m. What is its perimeter?

Accepted Answer

30 m

Answer

15 m

Answer

25 m

Answer

50 m

Question 38

A triangular flag has a base of 8 cm and a height of 6 cm. What is its area?

Accepted Answer

24 cm²

Answer

14 cm²

Answer

32 cm²

Answer

48 cm²

Question 39

Which shape has the greatest perimeter: a square with side length 6 cm, a rectangle with length 7 cm and width 4 cm, or a triangle with base 5 cm and height 3 cm?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Question 40

A farmer has a rectangular field with a length of 12 m and a width of 8 m. He wants to fence the field using wire that costs £1 per meter. How much will it cost to fence the field completely?

Accepted Answer

£60

Answer

£20

Answer

£40

Answer

£80

Question 41

What is the perimeter of a square with a side length of 4 cm?

Accepted Answer

16 cm

Answer

12 cm

Answer

24 cm

Answer

8 cm

Question 42

Find the perimeter of a circle with a radius of 3 cm.

Accepted Answer

18.84 cm

Answer

37.68 cm

Answer

9.42 cm

Answer

28.26 cm

Question 43

A circular pond has a diameter of 7 m. What is the perimeter of the pond?

Accepted Answer

21.98 m

Answer

10.99 m

Answer

32.96 m

Question 44

A rectangular garden is 10 meters long and 5 meters wide. What is the distance around the outside of the garden? This is called the perimeter.

Accepted Answer

30 meters

Answer

25 meters

Answer

15 meters

Answer

50 meters

Question 45

A square has sides that are each 7 cm long. What is the area of the square? (Remember, area is the space inside the shape)

Accepted Answer

49 cm²

Answer

28 cm²

Answer

14 cm²

Answer

35 cm²

Question 46

A circle has a radius of 5 cm.  What is the distance around the outside of the circle? This is called the circumference. (Use π = 3.14)

Accepted Answer

31.4 cm

Answer

15.7 cm

Answer

78.5 cm

Answer

25 cm

Question 47

A triangle has a base of 12 cm and an area of 36 cm². What is the height of the triangle?

Accepted Answer

6 cm

Answer

12 cm

Answer

18 cm

Answer

3 cm

Question 48

What is 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

25 cm

Answer

14 cm

Question 49

What is the area of a square with a side length of 4 cm?

Accepted Answer

16 cm²

Answer

8 cm²

Answer

10 cm²

Answer

25 cm²

Question 50

What is the perimeter of a triangle with sides of length 3 cm, 4 cm, and 5 cm?

Accepted Answer

12 cm

Answer

15 cm

Answer

20 cm

Answer

10 cm

Question 51

What is the area of a circle with a radius of 3 cm?

Accepted Answer

28.27 cm²

Answer

37.70 cm²

Answer

18.85 cm²

Answer

12.57 cm²

Question 52

A rectangular garden has a length of 6 m and a width of 4 m. What is the perimeter of the garden?

Accepted Answer

20 m

Answer

25 m

Answer

15 m

Question 53

A square has an area of 25 cm². What is the side length of the square?

Accepted Answer

5 cm

Answer

15 cm

Answer

20 cm

Answer

10 cm

Question 54

A triangular piece of land has sides of length 8 cm, 10 cm, and 12 cm. What is the perimeter of the land?

Accepted Answer

30 cm

Answer

36 cm

Answer

24 cm

Question 55

A circular swimming pool has a diameter of 6 m. What is the area of the pool?

Accepted Answer

28.27 m²

Answer

37.70 m²

Answer

18.85 m²

Answer

12.57 m²

Question 56

A rectangular garden has a length of 5 m and a width of 3 m. What is the area of the garden?

Accepted Answer

15 m²

Answer

10 m²

Answer

20 m²

Answer

25 m²

Question 57

A square has a perimeter of 20 cm. What is the area of the square?

Accepted Answer

25 cm²

Answer

49 cm²

Answer

16 cm²

Answer

36 cm²