There are three possibilities.. 1 x 12... 2 x 6 & 3 x 4
You can make about 5
No. Different rectangles, all with the same area, may have a different perimeter. Example:* A rectangle of 4 x 1 has an area of 4 square units, and a perimeter of 2(4+1) = 10. * A rectangle of 2 x 2 has an area of 4 square units, and a perimeter of 2(2+2) = 8. * A rectangle of 8 x 1/2 has an area of 4 square units, and a perimeter of 2(8 + 1/2) = 17. In fact, for any given area, you can make the perimeter arbitrarily large. On the other hand, you get the lowest perimeter if your rectangle is a square.
make a rectangle that covers 8 square units inside and has a perimeter of 12 units around the outside
Yes but not a square (or rectangle). A quadrilateral with an area of 16 sq units must have sides of at least 4 units and so a perimeter of at least 16 units. However, a circle of perimeter 15 units will enclose an area of 17.905 sq units (to 3 dp) so an ellipse of 15 units' perimeter will meet the requirements.
Yes, you can. If you make it 1 unit by 5 units
You can make about 5
No. Different rectangles, all with the same area, may have a different perimeter. Example:* A rectangle of 4 x 1 has an area of 4 square units, and a perimeter of 2(4+1) = 10. * A rectangle of 2 x 2 has an area of 4 square units, and a perimeter of 2(2+2) = 8. * A rectangle of 8 x 1/2 has an area of 4 square units, and a perimeter of 2(8 + 1/2) = 17. In fact, for any given area, you can make the perimeter arbitrarily large. On the other hand, you get the lowest perimeter if your rectangle is a square.
To be perfectly correct about it, a perimeter and an area can never be equal.A perimeter has linear units, while an area has square units.You probably mean that the perimeter and the area are the same number,regardless of the units.It's not possible to list all of the rectangles whose perimeter and area are thesame number, because there are an infinite number of such rectangles.-- Pick any number you want for the length of your rectangle.-- Then make the width equal to (double the length) divided by (the length minus 2).The number of linear units around the perimeter, and the number of square unitsin the area, are now the same number.
make a rectangle that covers 8 square units inside and has a perimeter of 12 units around the outside
Yes but not a square (or rectangle). A quadrilateral with an area of 16 sq units must have sides of at least 4 units and so a perimeter of at least 16 units. However, a circle of perimeter 15 units will enclose an area of 17.905 sq units (to 3 dp) so an ellipse of 15 units' perimeter will meet the requirements.
Assuming that you have to use all the rectangles, you have a few options:1x453x155x9Therefore, you are able to make three different rectangles.
Yes, you can. If you make it 1 unit by 5 units
You can make three rectangles. Remember that a square can also be a rectangle.5x14x23x3
Yes. Make the length of each side 1/4 of the desired perimeter.
Let's restrict ourselves to integers. 1 x 17 2 x 16 3 x 15 4 x 14 5 x 13 6 x 12 7 x 11 8 x 10 9 x 9 9 rectangles, 9 x 9 is the greatest area
That should not surprise you. Here's a thought that might make you more comfortable with it: -- Take a good sized piece of string. Tie the ends together. -- Now you have a big limp loop. Drop it down on the ground. -- How many different shapes can you make out of it ? A square ? A circle ? Different short fat rectangles ? Triangles ? Different long skinny rectangles ? Odd-ball shapes with 9 sides or 17 sides ? Shapes with some straight sides and some curved sides ? You can push the string loop around into millions of different shapes. The string loop is the perimeter of every one of them.
It's possible for the digit to be smaller. A square with 3 feet on each side will have a 9 square foot area and a 12 foot perimeter. It's pointless to compare area and perimeter. They have different units.