what is the area formula for a parellelogram
The area formula for a parallelogram is:
Area = base x height
Where the base is the length of one of the sides of the parallelogram, and the height is the perpendicular distance between the base and the opposite side.
what is the area formula for a slim rombus
The area formula for a rhombus is:
Area = (diagonal 1 x diagonal 2) / 2
Where diagonal 1 and diagonal 2 are the lengths of the two diagonals of the rhombus. Since a slim rhombus (rhombohedron) has equal length diagonals that are equal to the length of the side, the formula can also be written as:
Area = (side x side) / 2
or
Area = side^2 / 2
what is the area formula for a pentagon
The area formula for a regular pentagon (a polygon with five equal sides and angles) can be calculated using the following formula:
Area = (1/4) x √(5(5+2√5)) x s^2
Where s is the length of one of the sides of the pentagon. This formula is derived from the apothem of the regular pentagon and its side length.
For a regular pentagon inscribed in a circle of radius R, the area formula is:
Area = (5/2) x R^2 x sin(2π/5)
Where R is the radius of the circle circumscribing the pentagon.
Calculate the total area of the figure you designed. Show your work. Include the
correct units for area in your answer. my figure is a cat with the head outline of a pentagon
To calculate the total area of the figure (a cat with the head outline of a pentagon), you will need to find the area of the pentagon and add it to the area of the cat's head.
1. First, calculate the area of the pentagon:
Given that the pentagon is a regular pentagon, we can find the area using the formula:
Area = (1/4) x √(5(5+2√5)) x s^2
Let's assume that each side of the pentagon is 5 cm (s = 5 cm).
Plugging in the value of s into the formula:
Area = (1/4) x √(5(5+2√5)) x 5^2
Area ≈ 59.43 cm^2
(You can use a calculator to get a precise value)
2. Next, calculate the area of the cat's head. Let's say that the cat's head is a circular outline with a radius of 10 cm (r = 10 cm). Therefore, the area of the circular outline (cat's head) is:
Area = π * r^2
Area = π * 10^2
Area = 100π ≈ 314.16 cm^2
3. Finally, add the areas of the pentagon and the cat's head outline to get the total area of the figure:
Total Area = Area of pentagon + Area of cat's head
Total Area ≈ 59.43 cm^2 + 314.16 cm^2
Total Area ≈ 373.59 cm^2
Therefore, the total area of the figure, which is a cat with the head outline of a pentagon, is approximately 373.59 square centimeters.
how do i find the area of a rectangle
and how so i find the area of a triangle
To find the area of a rectangle:
The area of a rectangle can be calculated using the formula:
Area = length x width
where length is the longer side of the rectangle and width is the shorter side.
To find the area of a triangle:
The area of a triangle can be calculated using the formula:
Area = (base x height) / 2
where base is the length of the bottom side of the triangle and height is the perpendicular distance from the base to the opposite vertex.
Just plug in the given values for the length and width for a rectangle, or base and height for a triangle, into the respective formulas to calculate their areas.