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Area of Rectangle Questions

Area of a rectangle is a measure of the space enclosed within its boundaries of rectangle. Area of rectangle is determined by multiplying the dimensions of the rectangle i.e., length and breadth. The area of the rectangle formula is Length × Breadth.

In this article, we will explore the area of the rectangle formula with the basics of a rectangle. Along with a collection of Area of Rectangle Questions to help you master this key concept.

What is a Rectangle?

A quadrilateral whose opposite sides are equal is called a rectangle. The rectangle has two dimensions length and breadth. The below diagram represents a rectangle.

Area of Rectangle

Rectangle

Area of Rectangle Formula

Area of rectangle is determined by multiplying length and breadth of the rectangle. In other words, the product of the dimensions of rectangle i.e., length and breadth give the area of the rectangle formula. The unit of area of rectangle is square units.

Rectangle

Area of Rectangle Formula

Area of the rectangle formula is given by:

Area of rectangle = l × b

where,

  • l is the length of rectangle
  • b is the breadth of rectangle

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Area of Rectangle Questions – Unsolved

Q1. Find the area of the rectangle given the length and breadth of the rectangle is 22 units and 14 units respectively.

Q2. What is the length of the rectangle given that area of the rectangle is 150 square units and 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. 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 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.

Area of Rectangle Questions – Solved

1: Find the area of the rectangle given the length and breadth of the rectangle is 10 units and 4 units respectively.

Area of rectangle formula is given by:

Area of rectangle = l × b

Area of rectangle = 10 × 4

Area of rectangle = 40 sq. units

Area of the given rectangle is 40 square units.

2: Determine the area of the rectangle where length of rectangle is 15 units and breadth of the rectangle is 11 units.

Area of rectangle formula is given by:

Area of rectangle = l × b

Area of rectangle = 15 × 11

Area of rectangle = 165 sq. units

Area of the given rectangle is 165 square units.

3: Determine the area of the rectangle where length of rectangle is 15 units and breadth of the rectangle is twice of its length.

Breadth of rectangle = 2 × length of rectangle

Breadth of rectangle = 2 × 15 = 30 units

Area of rectangle formula is given by:

Area of rectangle = l × b

Area of rectangle = 15 × 30

Area of rectangle = 450 sq. units

Area of the given rectangle is 450 square units.

4: What is the length of the rectangle given that area of the rectangle is 5600 square units and breadth of the rectangle is 70 units.

Area of the rectangle formula is given by:

Area of rectangle = l × b

l = Area of rectangle / b

l = 5600 / 70 = 80 units

Length of the given rectangle is 80 unit.

5: Determine the breadth of the rectangle given that the length of the rectangle is 60 units, and the area of the rectangle is 2400 square units.

Area of the rectangle formula is given by:

Area of rectangle = l × b

b = Area of rectangle / l

b = 2400 / 60

b = 40 units

Breadth of the given rectangle is 40 unit.

Area of Rectangle Questions – FAQs

What is the Area Formula for Rectangles?

Area formula for rectangles is given by:

Area of rectangle = l × b

What is the Formula for Area?

Formula for the area is given by:

Area = Length × Breadth

What is the Rectangular Formula?

Rectangular formula can be obtained by multiplying length and breadth of the rectangle.

What is the Formula for Perimeter and Area of Rectangles?

Area formula of rectangle is length × breadth. The perimeter formula of the rectangles is 2(length + breadth).




Reffered: https://www.geeksforgeeks.org


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