Mathematics

Area and Perimeter

170 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

A rectangular room is 12 feet long and 8 feet wide. What is the area of the room in square feet?

  1. 96

  2. 104

  3. 112

  4. 120
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a rectangle is given by (length \times width). Therefore, the area of the room is (12 \times 8 = 96) square feet.

Multiple choice

A rectangular garden has a length of (x + 2) meters and a width of (x - 3) meters. If the area of the garden is 24 square meters, what is the value of x?

  1. 3

  2. 4

  3. 5

  4. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area of a rectangle is length * width. Therefore, (x + 2)(x - 3) = 24. Expanding the brackets, we get x^2 - x - 6 = 24. Rearranging, we get x^2 - x - 30 = 0. Factoring, we get (x - 6)(x + 5) = 0. Therefore, x = 6 or x = -5. Since the length of the garden cannot be negative, x = 6.

Multiple choice

A rectangular room has a length of 12 feet and a width of 8 feet. What is the area of the room in square feet?

  1. 96

  2. 104

  3. 112

  4. 120
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a rectangle is length * width. Therefore, the area of the room is 12 feet * 8 feet = 96 square feet.

Multiple choice

A rectangular garden has a length of (x + 2) meters and a width of (x - 3) meters. If the area of the garden is 24 square meters, what is the value of x?

  1. 3

  2. 4

  3. 5

  4. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area of a rectangle is length * width. Therefore, (x + 2)(x - 3) = 24. Expanding the brackets, we get x^2 - x - 6 = 24. Rearranging, we get x^2 - x - 30 = 0. Factoring, we get (x - 6)(x + 5) = 0. Therefore, x = 6 or x = -5. Since the length of the garden cannot be negative, x = 6.

Multiple choice

A rectangular garden has a length of 10 meters and a width of 5 meters. What is the area of the garden?

  1. 20 m²

  2. 25 m²

  3. 30 m²

  4. 35 m²
Reveal answer Fill a bubble to check yourself
Correct answer
Explanation

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 10 meters and the width is 5 meters, so the area is 10 meters * 5 meters = 50 square meters.

Multiple choice

A rectangular garden has a length of 10 meters and a width of 5 meters. What is the area of the garden?

  1. 20 m²

  2. 25 m²

  3. 30 m²

  4. 35 m²
Reveal answer Fill a bubble to check yourself
Correct answer
Explanation

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 10 meters and the width is 5 meters, so the area is 10 meters * 5 meters = 50 square meters.

Multiple choice

Find the area of a rectangle with length 8 cm and width 6 cm.

  1. 24 cm^2

  2. 32 cm^2

  3. 40 cm^2

  4. 48 cm^2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the area of a rectangle, multiply the length by the width: Area = length x width = 8 cm x 6 cm = 48 cm^2. Therefore, the answer is 48 cm^2.

Multiple choice

What is the perimeter of a square with side length 10 cm?

  1. 20 cm

  2. 30 cm

  3. 40 cm

  4. 50 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the perimeter of a square, multiply the side length by 4: Perimeter = 4 x side length = 4 x 10 cm = 40 cm. Therefore, the answer is 40 cm.

Multiple choice

A rectangular garden has a length of 10 meters and a width of 5 meters. What is the area of the garden?

  1. 20 square meters

  2. 25 square meters

  3. 30 square meters

  4. 50 square meters
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The area of a rectangle is found by multiplying the length and width. Therefore, the area of the garden is $10 imes 5 = 50$ square meters.

Multiple choice

A rectangular room has a length of 12 feet and a width of 8 feet. What is the perimeter of the room?

  1. 20 feet

  2. 28 feet

  3. 36 feet

  4. 40 feet
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The perimeter of a rectangle is found by adding the lengths of all four sides. Therefore, the perimeter of the room is $2 imes (12 + 8) = 40$ feet.

Multiple choice

A rectangular room has a length of 15 feet and a width of 10 feet. What is the area of the room?

  1. 150 square feet

  2. 200 square feet

  3. 250 square feet

  4. 300 square feet
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a rectangle is found by multiplying the length and width. Therefore, the area of the room is $15 imes 10 = 150$ square feet.

Multiple choice

A regular hexagon has six sides of equal length. If the length of each side is 10 centimeters, what is the perimeter of the hexagon?

  1. 20 centimeters

  2. 30 centimeters

  3. 40 centimeters

  4. 60 centimeters
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The perimeter of a regular hexagon is equal to the sum of the lengths of all six sides. Since each side is 10 centimeters long, the perimeter is (6 \times 10 = 60) centimeters.

Multiple choice

A rectangular garden has a length of 12 meters and a width of 8 meters. What is the area of the garden?

  1. 24 square meters

  2. 48 square meters

  3. 72 square meters

  4. 96 square meters
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the garden is (12 \times 8 = 96) square meters.

Multiple choice

A rectangular room is 12 meters long and 8 meters wide. What is the area of the room in square meters?

  1. 96

  2. 104

  3. 112

  4. 120
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of a rectangle = Length x Width. Therefore, the area of the room is 12 meters x 8 meters = 96 square meters.

Multiple choice

A rectangular room is 15 meters long and 10 meters wide. What is the area of the room in square meters?

  1. 125

  2. 150

  3. 175

  4. 200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of a rectangle = Length x Width. Therefore, the area of the room is 15 meters x 10 meters = 150 square meters.