The perimeter of a rectangle is not enough to determine its shape.
Let B < 5.5 be the breadth of the rectangle and let L = (11 - B) be its length. Then perimeter = 2*(L + B) = 2*(11 - B + B) = 2*11 = 22.
The choice of B was arbitrarily any number between 0 and 5.5. Therefore there are infinitely many shapes that will meet the requirements.
24
Yes.Yes.Yes.Yes.
5
9X2
A 3 x 8 rectangle
24
Yes. For instance, the rectangle measuring 1 by 10 has a perimeter of 22 and an area of 10, whereas the rectangle measuring 4 by 4 has a perimeter of 16 and an area of 16.
That depends on the dimensions !... A 1 x 18 rectangle has a perimeter of 38 ! A 2 x 9 rectangle has a perimeter of 22 ! A 3 x 6 rectangle has a perimeter of 18 !
A square of side 22 has an area of 484. Rectangle 23 x 21 has an area of 483...
Yes.Yes.Yes.Yes.
5
6x5
The area of a rectangle is not sufficient to determine its shape and therefore its perimeter. For example, each of the following rectangles has an area of 22 square units. But the perimeter, P, varies considerably. sqrt(22)*sqrt(22) : P = 4*sqrt(22) 2*11 : P = 26 1*22 : P = 46 0.1*220 : P = 440.2 0.01*2200 : P = 4400.02 0.001*22000 : P = 44000.002 As you may begin to see, there is no limit to the perimeter.
9X2
A 3 x 8 rectangle
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.
No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.