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Q: If same area in a rectangle does that mean same perimeter?

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the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.

yes

yes

For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.

not necessarily. take the example of a 3x3 square and a 4x2 rectangle. Both have a perimeter of 12. but the square has an area of 9 and the rectangle has an area of 8.

A square.

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.

Yes, it can because a 3 by 6 rectangle has the perimeter of 18 and has the area of 18! :)

4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12

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.

NO, because if you did it would be a square

Yes.

Yes. Take a simple rectangle of 1cm x 6cm. It's area is 6cm2 and its perimeter is 14cm. Now - a rectangle if 2cm x 3cm has the same area, but has a perimeter of just 10 Centimetres !

perimeter is different from area because example is in rectangle from formula until you get the answer you can easily see the difference

18cm is the area and perimeter. the width is 3cm.

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

yes, for example: a 4 by 5 rectangle has an area of 20 and a perimeter of 18 a 2 by 7 rectangle has an area of 14 and a perimeter of 18 they both have a perimeter of 18

No, any shape with four sides and same perimeter will always be a square.

(p/4)2, where p is the perimeter.

Would be congruent.It doesn't have to be a rectangle, though.It could be any shape.

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.

No, it is not. I'll give you two examples of a rectangle with a perimeter of 1. The first rectangle has dimensions of 1/4x1/4. The area is 1/16. The second rectangle has dimensions of 3/8x1/8. The area is 3/64. You can clearly see that these two rectangles have the same perimeter, yet the area is different.

No. A rectangle of 1 x 3 has the same perimeter as a rectangle of 2 x 2, but the areas are different.

Equal or equivalent fits your "clue".

You cannot find the perimeter unless the rectangle is a regular rectangle (a square) in which case the perimeter is 4 times the square root of the area. With just the area the shape of the rectangle could be any number of shapes with different perimeter, for example, imagine 6 square units 1cm by 1cm arranged in a 1*6 configuration to give a long thin rectangle, the perimeter would be 6+6+1+1=14cm, the same 6 arranged in a 3*2 rectangle would have the same area, but a perimeter of 3+3+2+2=10cm, for this reason a rectangle's perimeter cannot be determined from the area alone.