![]() ![]() The units associated with surface area will always be units squared. The area of the rectangle can be calculated by multiplying \(l\times w\), or \(32\times20\), which is 6,400. For example, the rectangle below has a length of 32 meters and a width of 20 meters. A represents area, l represents length, and w represents width. When determining the area of a rectangle, the formula \(A=l\times w\) can be applied. Situations such as these will require the use of surface area calculations. Area calculations are made for scenarios such as determining the number of tiles needed to cover the bottom of a swimming pool, the amount of wrapping paper needed to wrap a gift, or the amount of square footage you have in your backyard. Therefore, 1000 tiles are needed to cover the floor.Calculating surface area is a skill that can be applied in many real-world situations. To find the number of tiles needed to cover the courtyard’s floor, we divide the courtyard’s floor by the area of a tile. Find the total number of tiles needed to cover the courtyard’s floor completely.įirst, calculate the area of the courtyard’s floor and the tile.Īrea of the courtyard’s floor = (50 x 40) m 2 To get the cost of painting the wall, we multiply the area of the wall by the rate of painting.Ī rectangular courtyard’s floor, which is 50 m by 40 m, is covered by rectangular tiles of dimensions, 1 m by 2 m. Find the cost of painting the wall if the rate of painting is Rs 5 per sq. So, 50 cm = 0.5 mĪ rectangular wall measures 75 m by 32 m. What is the area of the rectangle in meters?Ĭonvert 50 cm to meters by dividing 50 by 100. The length of a rectangle is 0.7 m, and its width is 50 cm. Therefore, the length of the rectangle is 33 ft, and its width is 21 ft. Let the common ratio of the length and width = x The length and width are in the ratio 11: 7, and its area is 693 square feet. To find the total cost of cementing the floor, multiply the area of the floor by the rate of cementing.Ĭost of cementing = area x rate of cementing If the rate of cementing a floor is $12.40 per square meter, find the cost of cementing a rectangular floor of length 20 m and width 10 m. Therefore, the width of the rectangle is 5 cm. ![]() Here, the width is not given, so we use the Pythagorean theorem to determine the width.īy find the square root of both sides, we get. Therefore, width = 5 cm and length = 25 cm.įind the area of a rectangle with a length of 12 cm and a diagonal of 13 cm. Now substitute x = 5 for the equation of length and width. ![]() Length is 5 times its width, length = 5x.īut the perimeter of a rectangle =2(l w) = 60 cm If the perimeter of a rectangle is 60 cm and its length is 5 times the width, find the area of the rectangle. So, the area of the rectangle is 250 m 2.įind the area of a rectangle whose length and breadth are 10cm and 3 cm, respectively. Let’s work out a few example problems about the area of a rectangle.įind the area of a rectangle if its length is 25 m and breadth is 10 m. If they are given in different units, change them to the same unit. NOTE: When multiplying the length by the width, always ensure you work in the same unit of length. Therefore, the area of a rectangle formula states that:Ī = L * W, where A is the area, L is the length, W is the width or breadth. The area of a rectangle is the product of the breadth and length of a rectangle. The disadvantage with this method is that it does not give accurate figures of the area, and also, the method is inapplicable for finding the area of larger planes. units required to cover the rectangle.įor example, if the number of full squares counted is 20, then it means that the area of the rectangle is 20 squares units. The area of a rectangle can be calculated by counting the number of small full squares of dimension 1 * 1 sq. The width of a rectangle is sometimes referred to as the breadth (b). The length of a rectangle is the longest side, whereas the width is the shortest side. A rectangle is a 2-dimensional polygon with four sides, four angles, and four vertices.Ī rectangle is composed of two sides: length (L) and width (W). Area of Rectangles – Explanation
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