Area and Perimeter of Rectangle Questions (original) (raw)
Last Updated : 27 Feb, 2026
The area of a rectangle is the measure of the region enclosed within its four sides. It represents the surface covered by the rectangle and is expressed in square units such as square meters or square centimeters.
It is found by multiplying the length and the breadth of the rectangle.
Area of a rectangle = length × breadth
The perimeter of a rectangle is the total length of its boundary. Since it is a linear measurement, it is expressed in units such as meters, centimeters, or feet.
It is calculated by adding the lengths of all four sides of the rectangle.
Perimeter of a rectangle = 2(length + breadth)
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Solved Problems on Area
**1: Find the area of the rectangle given the length and breadth of the rectangle are 22 units and 14 units, respectively.
Area of rectangle formula is given by:
**Area of rectangle = l × b
Area of rectangle = 22 × 14
Area of rectangle = 308 sq. units
Area of the given rectangle is **308 square units.
**2: What is the length of the rectangle given that the area of the rectangle is 150 square units and the breadth of the rectangle is 30 units?
Area of rectangle = 150 sq. units
Breadth of rectangle = 30 units
**Length of rectangle = Area/Breadth
Length of rectangle = 150/30 = 5 units
Length of the given rectangle is **5 units.
**3: Find the area of the rectangular field with length 150 units and breadth 80 units.
Length of rectangle = 150 units
Breadth of rectangle = 80 units
**Area of rectangle = l × b
Area of rectangle = 150 × 80 = 12000 sq. units
Area of the given rectangle is 12000 square units.
**4: Determine the breadth of the rectangle given that the length of the rectangle is 22 units and the area of the rectangle is 880 square units.
Area of rectangle = 880 sq. units
Length of rectangle = 22 units
Breadth of the given rectangle = Area/ Length = 880/22 = **40 units.
**5: A rectangle has a length of 10 units and a width of 6 units. What is its area?
**For given rectangle:
length (l) = 10 units
breadth (b) = 6 units
Area of rectangle = l × b = 10 x 6 = **60 sq. units.
**6: Find the area of a rectangle with dimensions 7 centimeters by 9 centimeters. The length of a rectangular table is 3.5 meters, and its width is 2 meters. Calculate the area of the table.
****(i) For given rectangle:**
length (l) = 9 cms.
breadth (b) = 7 cms.
Area of given rectangle = l × b = 9 × 7 = **63 sq. units
****(ii) Dimensions of given table:**
length (l) = 3.5 mts.
breadth (b) = 2 mts.
Area of given table = l × b = 3.5 × 2 = **7.0 sq mts.
**7: A rectangular piece of land has dimensions 40 meters by 30 meters. Determine the area of the land.
For given rectangular piece of land:
length (l) = 40 mts.
breadth (b) = 30 mts.
Area of given rectangular piece of land = l × b = 40 × 30 = **1200 sq. mts.
**8: If a rectangle has a length of 18 inches and a width of 5 inches, what is its area?
**For given rectangular piece of land:
length (l) = 18 in.
breadth (b) = 5 in.
Area of given rectangle = l × b = 18 × 5 = **90 sq. inches.
**9: A rectangular swimming pool measures 20 meters by 12 meters. What is the area of the pool?
**For given rectangular swimming pool:
length (l) = 20 mts.
breadth (b) = 12 mts.
Area of given rectangle swimming pool = l × b = 20 × 12 = **240 sq. meters.
**10: Find the area of a rectangular rug that is 9 feet long and 6 feet wide.
For given rectangular rug:
length (l) = 9 feet
breadth (b) = 6 feet
Area of given rectangular rug = l × b = 9 × 6 = **54 sq. feet.
Practice Problems
**Q1. Find the area of the rectangle given the length and breadth of the rectangle are 22 units and 14 units, respectively.
**Q2. What is the length of the rectangle given that the area of the rectangle is 150 square units and the breadth of the rectangle is 30 units?
**Q3. Find the area of the rectangular field with length 150 units and breadth 80 units.
**Q4. Determine the breadth of the rectangle given that the length of the rectangle is 22 units and the area of the rectangle is 880 square units.
**Q5. A rectangle has a length of 10 units and a width of 6 units. What is its area?
**Q6. Find the area of a rectangle with dimensions 7 centimeters by 9 centimeters. The length of a rectangular table is 3.5 meters, and its width is 2 meters. Calculate the area of the table.
**Q7. A rectangular piece of land has dimensions of 40 meters by 30 meters. Determine the area of the land.
**Q8. If a rectangle has a length of 18 inches and a width of 5 inches, what is its area?
**Q9. A rectangular swimming pool measures 20 meters by 12 meters. What is the area of the pool?
**Q10. Find the area of a rectangular rug that is 9 feet long and 6 feet wide.
Solved Problems on Perimeter
**1: Find the perimeter of a rectangle whose length is 15 cm and breadth is 9 cm.
Length of rectangle = 15 cm
Breadth of rectangle = 9 cmPerimeter of rectangle = 2 (Length + Breadth)
Perimeter of rectangle = 2 (15 + 9)
Perimeter of rectangle = 2 × 24
Perimeter of rectangle = 48 cm.
**2: A tablecloth has a length of 140 inches and a breadth of 85 inches. How much lace is required to decorate its border?
Length of tablecloth = 140 inches
Breadth of tablecloth = 85 inchesLace required = Perimeter of the tablecloth
Perimeter = 2 (Length + Breadth)
Perimeter = 2 (140 + 85)
Perimeter = 2 × 225
Perimeter = 450 inches.
**3: Determine the perimeter of a rectangle whose length is 7 cm and breadth is 4 cm.
Length of rectangle = 7 cm
Breadth of rectangle = 4 cmPerimeter of rectangle = 2 (Length + Breadth)
Perimeter = 2 (7 + 4)
Perimeter = 2 × 11
Perimeter = 22 cm
**4: The perimeter of a rectangular garden is 300 m. If its length is 110 m, find the breadth of the garden.
Perimeter of garden = 300 m
Length of garden = 110 m
Breadth of garden = ?Perimeter of rectangle = 2 (Length + Breadth)
300 = 2 (110 + Breadth)
300 ÷ 2 = 110 + Breadth
150 = 110 + BreadthBreadth = 150 − 110
Breadth = 40 m
**5: A rectangular plot has an area of 480 m² and a length of 24 m. Find its breadth and perimeter.
Area of rectangle = 480 m²
Length of rectangle = 24 mBreadth of rectangle = Area ÷ Length
Breadth = 480 ÷ 24
Breadth = 20 mPerimeter of rectangle = 2 (Length + Breadth)
Perimeter = 2 (24 + 20)
Perimeter = 2 × 44
Perimeter = 88 m
Perimeter of Rectangle Questions - UnSolved
**Q1. The length and width of a rectangular signboard are 52 cm and 28 cm, respectively. Determine the total length of material required to frame the signboard.
**Q2. A student runs around a rectangular playground measuring 45 m by 30 m for 8 rounds. Calculate the total distance covered.
**Q3. The perimeter of a rectangle is 180 m. If its length is 55 m, find the width of the rectangle.
**Q4. Two rectangular gardens have the same perimeter. One garden measures 40 m × 25 m. If the length of the second garden is 45 m, find its width.
**Q5. A rectangular park has a perimeter of 320 m. If the ratio of its length to breadth is 3 : 2, find the dimensions of the park.
**Q6. The length of a rectangle is twice its breadth. If the perimeter is 96 cm, find the length and breadth of the rectangle.
**Q7. A wire of length 240 m is used to fence a rectangular field once. If the field is 70 m long, find its breadth.
**Q8. A rectangular tabletop has a length of 1.8 m and a breadth of 1.2 m. Find the total length of decorative ribbon required to cover its edges.
**Q9. The perimeter of a rectangle is increased from 100 m to 150 m by increasing both its length and breadth by the same amount. Find the increase in each dimension.
**Q10. A rectangular enclosure is 5 m longer and 3 m wider than another enclosure. If the perimeter of the smaller enclosure is 64 m, find the perimeter of the larger enclosure.