Where s is a side of the equilateral triangle. Now, if the given triangle is an equilateral triangle (which means that all of its sides are congruent or equal in measurement), then its perimeter can be calculated as: What does “perimeter” mean? How about “area”? How do you compute the perimeter and area of plane figures? These are the questions we are going to answer in this reviewer. Basically, perimeter and area are the concepts we use to quantitatively describe a certain plane figure.
These concepts are always involved as long as we are dealing with plane figures such as triangles, squares, rectangles, trapezoids, and so on. These are just a few examples of how significant the geometric concepts of perimeter and area are. On the other hand, if you want to determine how much is certain land property, you need to know how many square meters it is – in this case, you are actually asking for the area of that property. The formula for calculating the area of a rectangle is length times width, in square units.If you want to determine how many meters of fencing materials you need to enclose your backyard, you are actually asking for the perimeter of your backyard.
Area of a rectangle formula how to#
Knowing how to find the area of a rectangle helped you save money!īy watching the video and reading this lesson, you have learned how to recognize a rectangle, what square units are in connection with area, how to calculate the area of a rectangle, and how this skill can be useful. The brown rug costs less per square foot. Now divide the cost of each rug by its square feet:ī l u e r u g = $ 162 54 f t 2 = $ 3 p e r f t 2ī r o w n r u g = $ 243 108 f t 2 = $ 2.25 p e r f t 2 Which gives you the lower cost per square foot? First, calculate the areas of each rug:Ī r e a o f b l u e r u g = 6 ' × 9 ' = 54 f t 2Ī r e a o f b r o w n r u g = 9 ' × 12 ' = 108 f t 2 Knowing how to find the area of a rectangle can help you find bargains and avoid wasting money. Even things like new building construction and rental properties are calculated as costs per square foot or square meter.
Carpet is sold in square yards or square meters. What is the area of the door mat?Īrea is often connected to pricing. You see one measuring 75 centimeters (cm) long and 40 cm wide. Say you want a new welcome mat for outside your home's front door. What is the area of the blanket you need?Ī r e a = 1944 i n 2 Area of a Rectangle Examples Example #2 The kennel floor measures 54 inches long and 36 inches wide. Suppose you need a soft blanket for your dog's daytime kennel. A typical gallon of paint covers 400 square feet, so you will need one gallon of paint. You can quickly add those up to discover your room needs 336 square feet of paint coverage. Also notice the north and south walls are the same width, and the east and west walls are the same width. Notice all the walls are the same height. Ignoring spaces for windows, closet doors and the bedroom door (you always buy a bit more paint than you will need anyway!), here are the wall dimensions: Suppose you are repainting the walls of your bedroom. This next example is an extremely common, practical use for finding area of rectangles. To reach to all four corners (wall-to-wall), your carpet must also be 4 meters long and 3 meters wide.Ī r e a = 12 m 2 How To Solve Area of a Rectangle The room is 4 meters long and 3 meters wide. This is a very common use for finding area. Imagine you are installing a new wall-to-wall carpet in a room. The length of any polygon is always understood to be its larger dimension, even when its length is not presented horizontally. So make certain you can identify the two linear measurements of the rectangle.
If you do not know what the length of a rectangle is, though, that formula will not do you much good. So, if a shape is 11 yards long and 7 yards wide, its area is expressed in square yards, even though the shape is not a square. It is always expressed in square units of the linear measurement.
The area is the amount of flat space inside a rectangle or closed shape. If your shape has all those qualities, you have a rectangle and you can find its area. If everything checks out, see if it has four interior angles each of 90° with opposite, parallel congruent sides. So check to see if you have a flat, closed, four-sided shape (it is a plane figure, a quadrilateral with an interior and exterior). The only way to construct a polygon meeting those two requirements is to make a rectangle. You can recognize a rectangle by checking for its two identifying properties: By definition, a rectangle is a four-sided shape whose angles are all right angles measuring 90 degrees. Before finding the area of a rectangle, make sure you actually have a rectangle.
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