Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus. For shapes with curved boundary, calculus is usually required to compute the area. Using these formulas, the area of any polygon can be found by dividing the polygon into triangles. There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles. In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number. A shape with an area of three square metres would have the same area as three such squares. In the International System of Units (SI), the standard unit of area is the square metre (written as m 2), which is the area of a square whose sides are one metre long. The area of a shape can be measured by comparing the shape to squares of a fixed size.
Two different regions may have the same area (as in squaring the circle) by synecdoche, "area" sometimes is used to refer to the region, as in a " polygonal area". It is the two-dimensional analogue of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. The area of a rectangle paper of 45 square inches and a width of 5 inches.Area is the measure of a region's size on a surface. The area of a rectangle rug 28 square feet and a length of 7 feet. The area of a square is 25 square centimeters. ANSWER BOX: A = in 2Ī rectangular yard has a length of 12 meters and a width of 4 meters. 1.įind the area of a square with each side measuring 6 inches. This will help you practice finding the area of a rectangle. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. Your answers should be given as whole numbers greater than zero. Click once in an ANSWER BOX and type in your answer then click ENTER. The formula for area of a rectangle is:Ī = L * W where L is the length and W is the width.Ī square is a rectangle with 4 equal sides The formula for area of a square is:ĭirections: Read each question below. Given the area and one dimension of a rectangle, we can find the other dimension. Given the length and width of a rectangle, we can find the area. Summary: The dimensions of a rectangle are length and width. So must equal 3 cm.Įxample 4: The area of a rectangle is 12 square inches and the width is 3 inches. Let's look at some examples in which we are given the area of the rectangle, and are asked to work backwards to find the missing dimension.Įxample 3: The area of a square is 9 square centimeters. In Examples 1 and 2, we found the area of a recentangle given the dimensions of the rectangle. Let's look at some examples of finding the area of rectangles.Įxample 1: Find the area of a square with each side measuring 2 inches.Įxample 2: What is the area of a rectangle that has a length of 8 centimeters and a width of 3 centimeters?
Or where A is the area, s is the length of a side, and To find the area of a square, multiply the length of one side by itself. The formula is:Ī = L * W where A is the area, L is the length, W is the width, and * means multiply.Ī square is a rectangle with 4 equal sides. To find the area of a rectangle, multiply the length by the width. Area is measured in square units such as square inches, square feet or square meters. Area is 2-dimensional: it has a length and a width. Perimeter is 1-dimensional and is measured in linear units such as inches, feet or meters. To understand the difference between perimeter and area, think of perimeter as the length of fence needed to enclose the yard, whereas area is the space inside the yard. The area of a polygon is the number of square units inside the polygon.
Calculate area of rectangle how to#
How To Find The Area of a Rectangle Using Area of Rectangle Formula.
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