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). Note that these conversions are rounded to 3 decimal places, so they are not exact.Area of Rectangles – Explanation & Examplesīy definition, the area of a rectangle is the region covered by the rectangle in a two-dimensional plane. Below are the relationships between square kilometers, square meters, and some US customary measurements of area.ġ square kilometer = 1,000,000 square metersġ square kilometer = 10,763,910.417 square feet It can also be useful to know how to convert between different measurements of area, particularly for those who live in the US, since the US primarily uses US customary units of measurement. This is because there are 1,000 meters in a kilometer, and (1,000 m) 2 (since we are talking about area not length) is 1,000,000 m 2. For example, the "kilo-" prefix indicates 10 3, so to express an area such as 10 m 2 in km 2 multiply by (10 3) 2, or 1,000,000. This is because SI makes use of prefixes that indicate a specific power of 10 by which the base unit, in this case the meter, is modified. SI makes it relatively easy to convert an SI unit of area, such as square meters, into larger or smaller measurements of area. Square kilometers are derived from square meters, the SI base unit of area. The rectangle therefore has an area of 8 km 2:Ī square kilometer is a unit of area in the International System of Units (SI), the most widely used system of measurement. The measured area does not need to be in the shape of a square any area can be calculated, or estimated, as the area made up by some number of unit squares.įor example, a 4 km × 2 km rectangle is made up of 8 squares with an area of 1 km 2 each. In the case of square kilometers, each length is measured in kilometers, so multiplying kilometers × kilometers results in km 2. Square units of area, such as square kilometers, are a result of multiplying two lengths. 1 square kilometer is equal to the area of a square with sides that measure 1 kilometer.Ī square area is a measurement made up of two lengths. Home / primary math / area / square kilometers Square kilometersĪ square kilometer ( km 2) is a unit of measurement of area.
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