What is the area of a rectangular pentagon?
The basic formula that is used to find the area of a pentagon is, Area = 5/2 × s × a; where ‘s’ is the length of the side of the pentagon and ‘a’ is the apothem of a pentagon.
What is a rectangular pentagon?
We define a “rectangular pentagon” as a house-shaped, integer-sided convex plane figure consisting of a triangle with base B and sides u and v, surmounting a rectangle of width B and height d: Thus, if the triangle is obtuse or right, then only its longest side can be the base.
What transformation maps a pentagon onto itself?
So, a reflection across line q will map pentagon ABCDE onto itself. (b) Rotation 90∘ counter-clockwise about point F: Step 1: The transformation is a rotation. Step 2: The point of rotation is the center, F.
How do you find the area of a pentagon with a house?
Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don’t know the perimeter, calculate it from the side length: p = 5s, where s is the side length.
How do pentagons look like?
A pentagon shape is a flat shape or a flat (two-dimensional) 5-sided geometric shape. In geometry, it is considered as a is a five-sided polygon with five straight sides and five interior angles, which add up to 540°.
Where is pentagon located?
Arlington county
Pentagon, large five-sided building in Arlington county, Virginia, near Washington, D.C., that serves as the headquarters of the U.S. Department of Defense, including all three military services—Army, Navy, and Air Force.
How do you find the area of a polygon with coordinates?
By finding the product of a point’s x coordinate times the next point’s y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.
How do you find the area of an irregular pentagon?
To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon.
What is the area of a regular pentagon?
Area of the regular pentagon is 532.40 SQUARE INCHES. Finding the Area of a regular pentagon, use this formula: where: a = side length.
What is the surface area of a pentagon?
Building description. The Pentagon is has the most floor area of any building in the world. It has a total floor area of 6,500,000 sq ft (604,000 m 2). Offices are 3,700,000 sq ft (344,000 m 2).
How do you calculate a pentagon?
Start with the side length and apothem. This method works for regular pentagons,with five equal sides.