The farmer also lives in the United States, and being unfamiliar with the use of SI units, still measures his plot of land in terms of feet. Because he owns some cows that he did not want frolicking freely, he fenced the piece of land and knew the exact length and width of each edge. Imagine a farmer trying to sell a piece of land that happens to be perfectly rectangular. The Farmer and his Daughter – Unsold Land The equation for calculating the area of a rectangle is as follows: When the length and width of a rectangle are equal, the shape is a special case of a rectangle, called a square. In the case of a rectangle, the length typically refers to the longer two edges of the quadrilateral, while the width refers to the shorter of the two edges. A quadrilateral by definition is a polygon that has four edges and vertices. It is one of the simplest shapes, and calculating its area only requires that its length and width are known (or can be measured). RectangleĪ rectangle is a quadrilateral with four right angles. Provided below are equations for some of the most common simple shapes, and examples of how the area of each is calculated. The standard unit of area in the International System of Units (SI) is the square meter, or m 2. It can be visualized as the amount of paint that would be necessary to cover a surface, and is the two-dimensional counterpart of the one-dimensional length of a curve, and three-dimensional volume of a solid. Calculate the area of the rectangle carpet.Related Surface Area Calculator | Volume CalculatorĪrea is a quantity that describes the size or extent of a two-dimensional figure or shape in a plane. Solution : The length of the garden = 250 meterĪrea of the rectangular garden = 250 x 175Įxample 5: In an auditorium the floor is covered with a rectangular carpet, which is measured 9 m in length and 6 m in width. So the area of the white portion = 300cm² - 50cm² = 250cm².Įxample 4: The length of a rectangular shaped garden is 250 meters and then the width of the garden is 175 meters. Īnd the area of the violet colored rectangle = 10cm x 5cm = 50cm². So the area of the paper is = 20cm x 15cm = 300cm². Here the given paper has the shape of a rectangle. Solution : We know that area of a rectangle is length × width. Find the area of the violet colored portion and area of white portion. Jack has drawn a rectangle in the center of the paper which is 10 cm in length and 5 cm in width and painted the entire rectangle in violet color. Since the given length and width are in cm, the unit for area will be cm 2. Hence:Įxample 2: Find the area of the garden, length and width of the garden are respectively 600m and 400m.Įxample 3: A white paper has a size of length 20 cm and width 15 cm. Now, the calculated number 15 only has a meaning if we include the unit for it. After doing so, we can calculate A, as shown below: Similarly, since the width is given as 3cm, we can substitute W with 3. Since the length is given as 5cm, we can substitute L with 5. Solution : To calculate the area, we can use the formula for the area of a rectangle: Let us consider a rectangle with length x units and width y units.Įxample 1: Given a rectangle where the length is 5cm and the width is 3cm. Also in a rectangle all the adjacent sides are perpendicular.Ī rectangle is a quadrilateral and also a parallelogram. In a rectangle all opposite sides are parallel and equal. A quadrilateral is a called rectangle, if it is a parallelogram and each angle measures 90 degrees.Ī rectangle is a four sided and closed figure.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |