Mathematics

Area and Perimeter

177 Questions

Area and perimeter are fundamental concepts in mensuration and quantitative aptitude. This topic covers calculating dimensions for rectangles, squares, and various regular polygons. These practical questions frequently appear in competitive exams to evaluate spatial reasoning.

Rectangle area and breadthRegular polygon perimeterSquare propertiesFour wall surface areaError and uncertainty

Area and Perimeter Questions

Multiple choice

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
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

Multiple choice

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

  1. 12 cm

  2. 24 cm

  3. 16 cm

  4. 32 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

Multiple choice

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

  1. 32 cm

  2. 48 cm

  3. 24 cm

  4. 42 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

Multiple choice

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

  1. 64 cm

  2. 80 cm

  3. 40 cm

  4. 56 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

Multiple choice

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

  1. 72 cm

  2. 84 cm

  3. 56 cm

  4. 63 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

Multiple choice

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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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

Multiple choice

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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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

Multiple choice

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

  1. A = l * w

  2. A = 2 * (l + w)

  3. A = l^2 * w

  4. A = 2 * l * w
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The formula for calculating the area of a rectangle is A = l * w, where l is the length and w is the width of the rectangle.

Multiple choice

A rectangular garden has a length of 12 feet and a width of 8 feet. If a 2-foot wide path is built around the garden, what is the area of the path?

  1. 96 sq ft

  2. 104 sq ft

  3. 112 sq ft

  4. 120 sq ft
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Length of path = 12 + 2 + 2 = 16 feet Width of path = 8 + 2 + 2 = 12 feet Area of path = 16 * 12 = 192 sq ft

Multiple choice

A rectangular room has a length of 15 feet and a width of 12 feet. What is the area of the room in square meters?

  1. 18.58 sq m

  2. 19.53 sq m

  3. 20.47 sq m

  4. 21.42 sq m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

1 foot = 0.3048 meters Length in meters = 15 * 0.3048 = 4.572 meters Width in meters = 12 * 0.3048 = 3.6576 meters Area in square meters = 4.572 * 3.6576 = 16.7229 sq m

Multiple choice

A rectangular garden has a length of 20 feet and a width of 15 feet. If a 3-foot wide path is built around the garden, what is the area of the path?

  1. 126 sq ft

  2. 138 sq ft

  3. 150 sq ft

  4. 162 sq ft
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Length of path = 20 + 3 + 3 = 26 feet Width of path = 15 + 3 + 3 = 21 feet Area of path = 26 * 21 = 546 sq ft

Multiple choice

Find the area of a rectangle with length 8 cm and width 5 cm.

  1. 40 cm^2

  2. 20 cm^2

  3. 30 cm^2

  4. 25 cm^2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the given rectangle is: $$Area = length \times width$$ $$Area = 8 cm \times 5 cm$$ $$Area = 40 cm^2$$