Geometry Basics
A regular hexagon has an apothem of 5 and a perimeter of 30. Find the area.
What is 75?
A square has a side length of (x + 3). If the perimeter is 40, find x.
What is 7?
A regular pentagon has an area of 100 and a perimeter of 40. Find the apothem.
What is 5?
A regular decagon has a side length of 6 and an apothem of 9.2. Find the area.
What is 276?
The area of a regular polygon is 24x^2. If the apothem is 4x, find the perimeter in terms of x.
What is 12x?
An equilateral triangle has an area of 12*sqrt(3) and a perimeter of 18. Find the apothem.
What is 4*sqrt(3)/3?
Find the area of a regular nonagon (9 sides) with side length 10 and apothem 13.7.
What is 616.5?
A regular pentagon has sides of (2x - 4). If the perimeter is 60, find the area if the apothem is 8.3.
What is 249?
A regular polygon has n sides. If Area = 150, Perimeter = 50, and side length = 5, find n.
What is 10?
Find the area of a regular 15-gon with a perimeter of 90 and an apothem of 14.1.
What is 634.5?
The area of a square is x^2 - 6x + 9. Find the algebraic expression for the perimeter.
What is 4(x - 3)?
If the area of a regular polygon is 'k' and the perimeter is 'm', write the expression for the apothem.
What is 2k/m?
A regular 20-gon has a side of 4 and an apothem of 12.6. Find the area.
What is 504?
A regular hexagon's area is 48*sqrt(3)x^2. If the side length is 8x, find the apothem in terms of x.
What is 2*sqrt(3)x?
In a regular hexagon with side length 2x and apothem x*sqrt(3), find the simplified area expression.
What is 6x^2 * sqrt(3)?