This hexagon is made of 6 equilateral trianges of side length 8 inches. Height of such a triangle is SQRT(8^2 - 4^2) = SQRT(48) = 6.93 inches. Area of one triangle = 4 x 6.93 = 27.71 square inches.
Answer = 6 * 27.71 = 166.28 square inches
Begs the question: Same perimeter as what? There are plenty of examples of shapes that given the same perimeter length will have different areas, e.g. pick any two of the following: Circle, Square, Triangle, Rhombus, Pentagon, Hexagon...
Base x height x .50
Regular Hexagons are interesting because they have 6 sides to them, and all sides are the same length. That means, if you know the length of one side, then you know the length of all the other sides. The perimeter is the distance around your shape (picture how far you would have to walk if you went all the way around the playhouse). In your question, you are told that all sides are 5 feet long. Since you have 6 sides, you can either add them all up to find the perimeter (because you have to walk past all 6 sides), or you can multiply the length you have been given by 6. Adding: 5+5+5+5+5+5 = 30 feet Multiplying 5*6=30 feet
There is no formula for a rectangle. There are formula for calculating its area, perimeter or length of diagonals from its sides, or it is possible to calculate the length of one pair of sides given the other sides and the area or perimeter, or the two lots of sides given area and perimeter and so on.
Given a perimeter of 18 units, the resulting altitude is 5.2 (5.19615) units.
The area is 96*sqrt(3) = 166.3 sq inches, approx.
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.Click once to select an item at the bottom of the problem.
In general you cannot find the perimeter of any shape if only the area is given.
If it's a 'regular' hexagon, then it has three pairs of parallel lines. If the hexagon isn't 'regular', then it's not possible to answer the question with the information given in it.
Given the perimeter of a regular hexagon, it is better to use the side length: 6 inches, rather than the apothem of 5.2 inches because the latter is he rounded value of 3*sqrt(3) which is 5.196152... rather than 5.2. Based on the length of the sides, the area is approx 93.53 sq inches. [The apothem would have given 93.67 sq inches.]
(3x2 √3) / 2 Where x is the length of a side, given that the hexagon is a regular hexagon. However, if the hexagon is is not regular, you will have to find the area of the two trapeziums within the hexagon, find the area of them, and add them together.
(3x2 √3) / 2 Where x is the length of a side, given that the hexagon is a regular hexagon. However, if the hexagon is is not regular, you will have to find the area of the two trapeziums within the hexagon, find the area of them, and add them together.
Perimeter is measured in Linear Units because it is Measurement of The Outline or Path of a given shape or area; a Perimeter is NOT the Measurement of What is Inside that Outline/Path. It is a One-Dimensional measurement, which MEANS it is a Linear Unit Measurement, such as Feet or Meters.Alternatively, a Two-Dimensional Measurement, is the Square of a Linear Unit -- like AREA is a Two-Dimensional Measurement and therefore Measured in Linear Units Squared (i.e. meters2/Square Meters or feet2/Square Feet). Area is the Measurement of What is Contained within a given Perimeter.
It is not possible to answer a question given only the length of one side of a hexagon unless we are told it is a regular hexagon. I added a link that lets you calculate areas of regular polygons.
Perimeter is a measure of the distance around a given shape. Since a hexagon has 6 equal sides, in order to figure out the perimeter you would simply multiply the length of one side (one foot) by the number of sides (6):Perimeter = 1foot x 6 sides = 6 feet
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
More information is required in order to answer this question. What is the shape for which the perimeter is given? If it anything other than a circle or regular polygon it is not possible to determine the area. For a circle or regular polygon, the answer will depend on the shape.