Table of Contents
Can two different shapes have the same area?
Yes, as others have demonstrated, you can have different shapes given the same area, perimeter, and number of segments.
Can 2 shapes have the same area but different perimeter?
Two figures can have the same area but different perimeters.
What does it mean when two shapes have the same area?
similar figures
Two figures are considered to be “similar figures” if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Two shapes are congruent when they are the same exact size and have the same angle measurements.
Do triangles with the same perimeter have the same area?
Any triangles with the same perimeter and area and with one side the same are congruent. The area of a triangle is half of the product of the base and the perpendicular height, so given the base and the area, the height is fixed.
Which is the same shape?
Two figures are called congruent if they are the same shape and the same size.
How do you know if two squares are similar?
Similar figures have the same angle measures but different side lengths. Squares are similar shapes because they always have four 90∘ angles and four equal sides, even if the lengths of their sides differ. Other shapes can be similar too, if their angles are equal.
Can the perimeter be bigger than the area?
The perimeter is always bigger except for one (Shape G). The area and perimeter are the same. The same happened if there you have a rectangle that has a length of 6 and a width of 3. Table 3 (they didn’t give their school) looked at finding a shape which has a perimeter numerically twice the area.
What is the relation between perimeter and area?
What is the Difference Between Area and Perimeter?
| Area | Perimeter |
|---|---|
| Area refers to the space occupied by a shape or an object or a surface. | Perimeter refers to the measure of the length of the outline or boundary of a shape, an object or a surface. |
Which is an example of a shape with the same area?
mfb said: There are examples, but they are a bit harder to find. A triangle and a suitable trapezoid are the easiest examples. Thinking about it, two suitable trapezoids are a much easier example of two different shapes with the same area and perimeter. Jun 9, 2020.
Can a shape have the same volume and surface area?
Just think of the case of two otherwise similar shapes with some characteristic protrusion, which have this protrusion in a different place. But if you require that the ratio of surface area to volume be the minimum possible, then there exists only one shape: The sphere. Interesting question; never thought about it.
Can a square have the same area as a circle?
The family of ellipses with the same perimeter can have any area between that of a circle to zero (if it is extremely “thin” i.e. if its eccentricity is large). The circle has the maximum area of any other shape with the same perimeter, so the square has the same area of one of the intermediate ellipses.
Can a square have the same area as an ellipsis?
Take for example a square and an ellipsis with the same perimeter. The family of ellipses with the same perimeter can have any area between that of a circle to zero (if it is extremely “thin” i.e. if its eccentricity is large).