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

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 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.

Multiple choice

What is the area of a rectangle with a length of 10 cm and a width of 5 cm?

  1. 20 cm²

  2. 50 cm²

  3. 100 cm²

  4. 150 cm²
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of a rectangle is calculated by multiplying its length and width. In this case, we have 10 cm x 5 cm = 50 cm².

Multiple choice

Find the perimeter of a square with a side length of 8 cm.

  1. 16 cm

  2. 24 cm

  3. 32 cm

  4. 40 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The perimeter of a square is calculated by multiplying the side length by 4. In this case, we have 8 cm x 4 = 32 cm.

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 square feet

  2. 104 square feet

  3. 112 square feet

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

The area of a rectangle is given by the formula A = lw. Substituting l = 12 feet and w = 8 feet into the formula, we get A = 12 feet * 8 feet = 96 square feet.

Multiple choice

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

  1. 120 square feet

  2. 130 square feet

  3. 140 square feet

  4. 150 square feet
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The area of a rectangle is given by the formula A = lw. Substituting l = 15 feet and w = 10 feet into the formula, we get A = 15 feet * 10 feet = 150 square feet.

Multiple choice

A rectangular field has a length of (20) meters and a width of (15) meters. What is the area of the field in square meters?

  1. \(300\)
  2. \(350\)
  3. \(400\)
  4. \(450\)
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 field is (20 \times 15 = 300) square meters.

Multiple choice

A rectangular garden has a length of 20 meters and a width of 15 meters. If a path of uniform width is constructed around the garden, increasing the length and width by 2 meters each, what is the area of the path?

  1. 100 square meters

  2. 120 square meters

  3. 140 square meters

  4. 160 square meters
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of the path can be calculated by subtracting the area of the original garden from the area of the new garden with the path. The area of the original garden is 20 * 15 = 300 square meters. The area of the new garden with the path is (20 + 2) * (15 + 2) = 22 * 17 = 374 square meters. Therefore, the area of the path is 374 - 300 = 74 square meters.

Multiple choice

A rectangular garden has a length of 10 meters and a width of 5 meters. If the length of the garden is increased by 2 meters and the width is decreased by 1 meter, what is the area of the new garden?

  1. 49 square meters

  2. 51 square meters

  3. 53 square meters

  4. 55 square meters
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of the original garden is 10 * 5 = 50 square meters. The length of the new garden is 10 + 2 = 12 meters and the width of the new garden is 5 - 1 = 4 meters. Therefore, the area of the new garden is 12 * 4 = 48 square meters.

Multiple choice

A rectangular garden has a length of 10 meters and a width of 5 meters. If the length of the garden is increased by 2 meters and the width is decreased by 1 meter, what is the perimeter of the new garden?

  1. 32 meters

  2. 34 meters

  3. 36 meters

  4. 38 meters
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The perimeter of the original garden is 2 * (10 + 5) = 30 meters. The length of the new garden is 10 + 2 = 12 meters and the width of the new garden is 5 - 1 = 4 meters. Therefore, the perimeter of the new garden is 2 * (12 + 4) = 32 meters.

Multiple choice

A rectangular garden has a length of 10 meters and a width of 5 meters. If the length of the garden is increased by 2 meters and the width is decreased by 1 meter, what is the area of the new garden?

  1. 49 square meters

  2. 51 square meters

  3. 53 square meters

  4. 55 square meters
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of the original garden is 10 * 5 = 50 square meters. The length of the new garden is 10 + 2 = 12 meters and the width of the new garden is 5 - 1 = 4 meters. Therefore, the area of the new garden is 12 * 4 = 48 square meters.