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

What is the perimeter of a rectangle with length 8 cm and width 6 cm?

  1. 28 cm

  2. 14 cm

  3. 22 cm

  4. 18 cm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. In this case, l = 8 cm and w = 6 cm, so P = 2(8 + 6) = 2(14) = 28 cm.

Multiple choice

A rectangular garden has a length of 10 m and a width of 8 m. If a fence is built around the garden, what is the total length of the fence?

  1. 36 m

  2. 44 m

  3. 52 m

  4. 60 m
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The total length of the fence is equal to the perimeter of the garden. The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. In this case, l = 10 m and w = 8 m, so P = 2(10 + 8) = 2(18) = 36 m.

Multiple choice

A triangular plot of land has sides of length 12 m, 15 m, and 18 m. What is its perimeter?

  1. 36 m

  2. 45 m

  3. 54 m

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

The perimeter of a triangle is given by the formula P = a + b + c, where a, b, and c are the lengths of the sides. In this case, a = 12 m, b = 15 m, and c = 18 m, so P = 12 + 15 + 18 = 45 m.

Multiple choice

A rectangular room has a length of 9 m and a width of 6 m. What is its area?

  1. 42 m^2

  2. 54 m^2

  3. 66 m^2

  4. 78 m^2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of a rectangle is given by the formula A = l * w, where l is the length and w is the width. In this case, l = 9 m and w = 6 m, so A = 9 * 6 = 54 m^2.

Multiple choice

A square has a perimeter of 40 cm. What is the length of each side?

  1. 8 cm

  2. 10 cm

  3. 12 cm

  4. 14 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The perimeter of a square is given by the formula P = 4s, where s is the length of a side. In this case, P = 40 cm, so 4s = 40. Dividing both sides by 4, we get s = 40 / 4 = 10 cm.

Multiple choice

A rectangular garden has a length of 15 m and a width of 10 m. If a fence is built around the garden, what is the total area of the fence?

  1. 90 m^2

  2. 100 m^2

  3. 110 m^2

  4. 120 m^2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The total area of the fence is equal to the area of the rectangle plus the area of the four sides of the fence. The area of the rectangle is given by the formula A = l * w, where l is the length and w is the width. In this case, l = 15 m and w = 10 m, so A = 15 * 10 = 150 m^2. The area of the four sides of the fence is given by the formula A = 2(l + w) * h, where h is the height of the fence. In this case, l = 15 m, w = 10 m, and h = 2 m, so A = 2(15 + 10) * 2 = 2(25) * 2 = 100 m^2. Therefore, the total area of the fence is 150 + 100 = 250 m^2.

Multiple choice

A rectangular room has a length of 12 m and a width of 8 m. If a carpet is laid on the floor of the room, what is the area of the carpet?

  1. 72 m^2

  2. 84 m^2

  3. 96 m^2

  4. 108 m^2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The area of the carpet is equal to the area of the floor of the room. The area of a rectangle is given by the formula A = l * w, where l is the length and w is the width. In this case, l = 12 m and w = 8 m, so A = 12 * 8 = 96 m^2.

Multiple choice

What is the area of a square with side length 5 cm?

  1. 25 cm²

  2. 50 cm²

  3. 100 cm²

  4. 200 cm²
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a square is given by the formula A = s², where s is the length of a side. Therefore, the area of a square with side length 5 cm is 5² = 25 cm².

Multiple choice

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

  1. 25 cm²

  2. 100 cm²

  3. 50 cm²

  4. 125 cm²
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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

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