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No.
It is not possible for the shape with the same perimeter to have the same area. This is because, to do this, you would have to cut up two shapes into eight pieces, add the amount of them all together and divide them by 7.559832076. By doing this you are breaking the seventh note, this is against the laws of trigonometry there by breaking this rule of concentration, so this statment; having shapes with the same perimeter have the same area, is therefor not true!
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∙ 11y ago
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Do all shapes with fixed perimeter have same area?
nope because if u have a square with a side length of 4 then the perimeter is 16 and the area is 16 and say if u have a rectangle with side lengths of 2 and 6 then the perimeter is 16 but the area is 12 so the answer is no
Why can shapes with the same area have different perimeters?
Shapes with the same area can be different sizes. If you restrict yourself to integers, a rectangle with an area of 12 square inches can have the following dimensions: 1 x 12 (perimeter 26) 2 x 6 (perimeter 16) 3 x 4 (perimeter 14) The long skinny piece has most of its area near the edges. The one that's most like a square has most of its area in the center.
A shape with the same area and perimeter?
As a perimeter is a measure of length and has different units to those measuring an area then it is the numerical value that is the same. CIRCLE : area = perimeter occurs when πr2 = 2πr = : r = 2 SQUARE : area = perimeter when d2 = 4d : d = 4, where d is the length of a side.
Show you 2 rectanglesthat have the same area and different perimeter?
A rectangle with sides of 1cm and 6cm has an area of 6 cm2 and a perimeter of 14 cm. A rectangle with sides of 2cm and 3cm has the same area but its perimeter is 10 cm.
If two shapes have the same perimeter will they have the same area?
Not at all. For example:A square of 2 x 2 will have a perimeter of 8, and an area of 4. A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero. The circle has the largest area for a given perimeter/circumference.
Can shapes with the same area have different perimeter?
yes they can
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
Can two shapes have the same perimeter?
Yes - even shapes with different area.
What shapes have the same perimeter but different areas?
Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.
What do you notice about the area of shapes that have the same perimeter?
That two different shapes may well have the same perimeter, but different areas. As an example, a 3 x 1 rectangle and a 2 x 2 rectangle have the same perimeter, but the area is different.
How shapes have the same area but different perimeter?
Because the area is different than the perimeters
If two shapes have the same area and perimeter are they congruent?
Only if they have the same number of sides.
What are 3 shapes with the same perimeter?
it means make same shapes only perimeter
Are there shapes with the same area but a different perimeter?
Certainly. Infinitely many for any given area.
Shapes with the same area do they have the same perimeter?
No.Rectangle 5 x 10. Area = 50. Perimeter = 30.Rectangle 2 x 25. Area = 50. Perimeter = 54.
Why cant shapes have the same area but not perimeter?
area is times the side and the top and the perimeter is adding the top bottom side and the other side
How do you figure out the area if you know the perimeter?
You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.
