Area and Perimeter of Geometric Shapes

Description: This quiz assesses your understanding of the concepts of area and perimeter of various geometric shapes.
Number of Questions: 14
Created by:
Tags: geometry area perimeter
Attempted 0/14 Correct 0 Score 0

Find the area of a square with side length 5 cm.

  1. 25 cm²

  2. 100 cm²

  3. 50 cm²

  4. 125 cm²


Correct Option: A
Explanation:

Area of a square = side² = 5 cm² = 25 cm²

Calculate the perimeter of a rectangle with length 8 cm and width 6 cm.

  1. 14 cm

  2. 28 cm

  3. 24 cm

  4. 32 cm


Correct Option: B
Explanation:

Perimeter of a rectangle = 2(length + width) = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm

Determine the area of a triangle with base 10 cm and height 8 cm.

  1. 40 cm²

  2. 80 cm²

  3. 20 cm²

  4. 160 cm²


Correct Option: A
Explanation:

Area of a triangle = (1/2) * base * height = (1/2) * 10 cm * 8 cm = 40 cm²

Find the perimeter of a regular hexagon with side length 4 cm.

  1. 12 cm

  2. 24 cm

  3. 16 cm

  4. 32 cm


Correct Option: B
Explanation:

Perimeter of a regular hexagon = 6 * side = 6 * 4 cm = 24 cm

Calculate the area of a circle with radius 7 cm.

  1. 154 cm²

  2. 314 cm²

  3. 49π cm²

  4. 100π cm²


Correct Option: A
Explanation:

Area of a circle = π * radius² = π * 7 cm² = 154 cm²

Determine the perimeter of a regular octagon with side length 6 cm.

  1. 32 cm

  2. 48 cm

  3. 24 cm

  4. 42 cm


Correct Option: B
Explanation:

Perimeter of a regular octagon = 8 * side = 8 * 6 cm = 48 cm

Find the area of a parallelogram with base 12 cm and height 5 cm.

  1. 30 cm²

  2. 60 cm²

  3. 24 cm²

  4. 48 cm²


Correct Option: B
Explanation:

Area of a parallelogram = base * height = 12 cm * 5 cm = 60 cm²

Calculate the perimeter of a regular decagon with side length 8 cm.

  1. 64 cm

  2. 80 cm

  3. 40 cm

  4. 56 cm


Correct Option: B
Explanation:

Perimeter of a regular decagon = 10 * side = 10 * 8 cm = 80 cm

Determine the area of a trapezoid with bases 10 cm and 15 cm, and height 8 cm.

  1. 100 cm²

  2. 200 cm²

  3. 150 cm²

  4. 250 cm²


Correct Option: A
Explanation:

Area of a trapezoid = ((base1 + base2) / 2) * height = ((10 cm + 15 cm) / 2) * 8 cm = 100 cm²

Find the perimeter of a regular dodecagon with side length 7 cm.

  1. 72 cm

  2. 84 cm

  3. 56 cm

  4. 63 cm


Correct Option: B
Explanation:

Perimeter of a regular dodecagon = 12 * side = 12 * 7 cm = 84 cm

Calculate the area of a sector of a circle with radius 10 cm and central angle 60°.

  1. 30π cm²

  2. 60π cm²

  3. 15π cm²

  4. 45π cm²


Correct Option: A
Explanation:

Area of a sector = (π/360) * radius² * central angle = (π/360) * 10 cm² * 60° = 30π cm²

Determine the perimeter of a regular 15-gon with side length 5 cm.

  1. 75 cm

  2. 105 cm

  3. 60 cm

  4. 90 cm


Correct Option: A
Explanation:

Perimeter of a regular 15-gon = 15 * side = 15 * 5 cm = 75 cm

Find the area of a segment of a circle with radius 12 cm and height 8 cm.

  1. 96π cm²

  2. 192π cm²

  3. 144π cm²

  4. 288π cm²


Correct Option: A
Explanation:

Area of a segment = (1/2) * (radius² - height²) = (1/2) * (12 cm² - 8 cm²) = 96π cm²

Calculate the perimeter of a regular 18-gon with side length 6 cm.

  1. 108 cm

  2. 144 cm

  3. 72 cm

  4. 126 cm


Correct Option: A
Explanation:

Perimeter of a regular 18-gon = 18 * side = 18 * 6 cm = 108 cm

- Hide questions