what is the area of a polygram that is 42 cm in perimeter? the shape is a rectangle and it has 6 sides.
The shape you described, a rectangle with 6 sides, is not a polygon. A rectangle specifically has 4 sides.
A polygon is a closed figure with straight sides. The sum of the lengths of its sides is known as the perimeter of the polygon. For a polygon with 6 sides, it is called a hexagon.
To find the area of a hexagon, we need more information than just the perimeter. The length of each side or the measure of an interior angle would be required.
Please provide additional information so that we can calculate the area of your shape accurately.
To calculate the area of a polygon, we need to know either the length of one of its sides or the apothem (the distance from the center of the polygon to one of its sides). However, in your question, you have mentioned that the shape is a rectangle and also has 6 sides. Rectangles have 4 sides, so it is not clear what shape you are referring to. Could you please clarify?
To find the area of a polygram, we need to know the dimensions of the shape. In this case, we have a rectangle.
Let's start by finding the length and width of the rectangle. Since the polygram has 6 sides and is given a perimeter of 42 cm, we can divide 42 by 6 to find the length of each side.
42 cm ÷ 6 = 7 cm
Since a rectangle has two pairs of congruent sides, the length and width of the rectangle are both 7 cm.
Now that we have the dimensions of the rectangle, we can find its area by multiplying the length and width:
Area = Length × Width
Area = 7 cm × 7 cm
Area = 49 cm²
Therefore, the area of the rectangle polygram is 49 square centimeters.