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14y ago

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Are two squares with the same perimeter congruent?

Yes, if the perimeters are the same, then both of them have side = perimeter / 4. And of course the angles are all 90°, since they are squares.


Can shapes of the same area have different perimeters?

MOst of it


What are two different size squares that the ratio of their perimeters is the same as the ratio of their areas?

Assume square A with side a; square B with side b. Perimeter of A is 4a; area of A is a2. Perimeter of B is 4b; area of B is b2. Given the ratio of the perimeters equals the ratio of the areas, then 4a/4b = a2/b2; a/b = a2/b2 By cross-multiplication we get: ab2 = a2b Dividing both sides by ab we get: b = a This tells us that squares whose ratio of their perimeters equals the ratio of their areas have equal-length sides. (Side a of Square A = side b of Square B.) This appears to show, if not prove, that there are not two different-size squares meeting the condition.


How shapes have the same area but different perimeter?

Because the area is different than the perimeters


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.


Why can you have a shape with different perimeters but the same area?

they are different because perimeter is the out side of the shape and area is inside of the shape.


What is the perimeter of a rectangle whose area is 21?

That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.


Two squares are congruent if they have the same?

If they have the same area.


Do rectangles with the same area have equal perimeters?

No, they are not equal. Say a rectangle is 3 x 2 = 6 sq in area Say another is 6 x 1 = 6 sq in area perimeter of first one is 2L + 2B = 10 perimeter of second one is 2L + 2B = 14


Can the same area of a rectangle be the same perimeters?

You can come up with the same number (4 x 4) but you can't come up with the same units.


If two rectangle have the same area must they have the same perimeter?

Not always because a 2 by 12 rectangle will have the same area as a 4 by 6 rectangle but they both will have different perimeters.


What is the perimeter of 170 acres?

That depends on the exact shape. For the same area, you can have different perimeters, depending on the shape.