Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Improve Article Save Article Like Article Improve Article Save Article In Mathematics, mensuration deals with geometric figures and parameters like volume, area, shape, surface area, etc. Or in other words, when we work with the area, the volume of specific shapes, or different parameters of geometric figures then it is called Mensuration in Mathematics. Rectangle A rectangle is a closed two-dimensional figure composed of four sides and four vertices. All angles of the rectangle are 90°. A rectangle with all sides equal is equivalent to a square. A rectangle is composed of two pairs of parallel sides, length, and width respectively. Properties of rectangle
Area of Rectangle A rectangle is composed of equal pairs which are parallel in nature and equal in length. The area of a rectangle is the space enclosed within its boundaries. Or in other words, the product of the length and width of the rectangle is known as the area of a rectangle.
Let us assume A to be the area of the rectangle and l and b to be the length and breadth of the rectangle respectively.
Solution:
Sample QuestionsQuestion 1: How does the area of the rectangle change when the length is doubled and breadth halved? Solution:
Question 2: How does the area change if length and breadth become equal? Solution:
Question 3: Derive the general formula of the change in the area of a rectangle if length becomes m times and breadth becomes n times. Solution:
Question 4: Using the above formula, define how the area will change if length becomes 1/8 times and breadth 2 times. Solution:
Question 5: If the area becomes triple, keeping the length the same, how does the breadth change? Solution:
For StudentsFor ParentsFor SchoolsSuccess StoriesOutcomesAI START UP MATHEMATICS>Mensuration>EXERCISE 10.1>Q 5 The pizza is circular, its box is square, and it's cut into triangles! This wouldn't be possible without area calculations. Let's learn to calculate the area... We already know that the square and rectangle are closed shapes with four sides. Let's watch this video to study how to calculate the area of a given square... We need to learn how to calculate the perimeter as it is very useful in real life. Let's take a look at the example in this video to understand the formula. Here, we will learn: what a perimeter is, how to find the perimeter of a rectangle, and Why the perimeter of a rectangle is two times of length plus a breadth. Watch this video to learn about the concept of the perimeter of plane figures and closed figures. We'll also learn the perimeter of a combination of figures. This video will help you to learn the method to find the area of an irregular shape, such as a leaf, using a square grid paper. Use this to find the area of... |