Perimeter = add the length of all sides. P = 2a + 2b. Triangle. Area = 1/2 of the base X the height. A = bh. Perimeter = a + b + c. (add the length of the three sides). The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers. You measure area in square units of a fixed size. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.

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Erin is building a rectangular fenced in area for her dog, and she has feet of fencing.

What should the dimensions of her fence be if areas and perimeters wants to maximize the area her areas and perimeters has to run and play, and what is the area enclosed by the fence? You know that all the sides should be the same length, so to find the length of each side, divide feet by 4. The fence should be 40 feet long on each side, which means that the total area enclosed by the fence will be 40 ft x 40 ftor ft2.

How to Find Minimum Perimeter with a Fixed Area What if instead of knowing the perimeter, you know what you want the area to be and want to find the minimum perimeter necessary to enclose that area? For example, if Ava areas and perimeters to build a shed with an area of 25 ft2, what is the minimum perimeter possible to get this area?

What can you say about these two shapes? What is the area of each one?

What is the perimeter of each one? The units of perimeter are same as that of areas and perimeters, i. A part of the plane enclosed by a simple closed figure is called a plane region and the measurement of plane region enclosed is called its area.

Fortunately, you can use multiplication. And this can be generalized to a formula for finding the area of a square with any length, s: To help you find the area areas and perimeters the many different categories of polygons, mathematicians have developed formulas.